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Using the ratio-proportion method, convert 135 pounds to kilograms, given that one kilogram equals 2.2 pounds.

A. 56.2 kg
B. 59.8 kg
C. 61.4 kg
D. 68.7 kg

Answer :

To convert 135 pounds to kilograms using ratio-proportion, follow these steps:

1. Understand the conversion ratio:
- We know that 1 kilogram is equal to 2.2 pounds.

2. Set up the proportion:
- To find out how many kilograms 135 pounds is equal to, you can set up a proportion. This can be written as:
[tex]\[
\frac{1 \text{ kg}}{2.2 \text{ lbs}} = \frac{x \text{ kg}}{135 \text{ lbs}}
\][/tex]
- Here, [tex]\( x \)[/tex] represents the weight in kilograms that we want to find.

3. Solve the proportion:
- Cross-multiply to solve for [tex]\( x \)[/tex]:
[tex]\[
2.2 \times x = 1 \times 135
\][/tex]
[tex]\[
2.2x = 135
\][/tex]

4. Isolate [tex]\( x \)[/tex]:
- Divide both sides of the equation by 2.2 to solve for [tex]\( x \)[/tex]:
[tex]\[
x = \frac{135}{2.2}
\][/tex]

5. Calculate the answer:
- Perform the division:
[tex]\[
x \approx 61.4
\][/tex]

Therefore, 135 pounds is approximately 61.4 kilograms. The correct answer is 61.4 kg.

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