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Answer :
Let's evaluate each proportion step by step:
1. For the first proportion, we have
$$
\frac{24}{30} = 0.8 \quad \text{and} \quad \frac{20}{25} = 0.8.
$$
Since both fractions equal $0.8$, this proportion is true.
2. For the second proportion, we calculate:
$$
\frac{18}{48} = 0.375 \quad \text{and} \quad \frac{20}{50} = 0.4.
$$
The values $0.375$ and $0.4$ are not equal, so this proportion is false.
3. For the third proportion, we find:
$$
\frac{25}{45} \approx 0.5556 \quad \text{and} \quad \frac{75}{135} \approx 0.5556.
$$
Both numbers are approximately equal, confirming that this proportion is true.
4. Lastly, for the fourth proportion, we have:
$$
\frac{10}{25} = 0.4 \quad \text{and} \quad \frac{40}{100} = 0.4.
$$
Both fractions equal $0.4$, so this proportion is also true.
Only the second proportion is incorrect. Therefore, the false proportion is option 2.
1. For the first proportion, we have
$$
\frac{24}{30} = 0.8 \quad \text{and} \quad \frac{20}{25} = 0.8.
$$
Since both fractions equal $0.8$, this proportion is true.
2. For the second proportion, we calculate:
$$
\frac{18}{48} = 0.375 \quad \text{and} \quad \frac{20}{50} = 0.4.
$$
The values $0.375$ and $0.4$ are not equal, so this proportion is false.
3. For the third proportion, we find:
$$
\frac{25}{45} \approx 0.5556 \quad \text{and} \quad \frac{75}{135} \approx 0.5556.
$$
Both numbers are approximately equal, confirming that this proportion is true.
4. Lastly, for the fourth proportion, we have:
$$
\frac{10}{25} = 0.4 \quad \text{and} \quad \frac{40}{100} = 0.4.
$$
Both fractions equal $0.4$, so this proportion is also true.
Only the second proportion is incorrect. Therefore, the false proportion is option 2.
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