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Answer :
Final answer:
Amongst the given proportions, the only false proportion is (18/48)=(20/50). The truth of a proportion can be determined by checking if cross-multiplication gives equal results.
Explanation:
This is a question about the mathematical concept of proportions. Proportions reflect the relationship between certain quantities. To determine if a proportion is true, we need to cross multiply and check if the products are equal.
The first proportion is (25)/(45)=(75)/(135). Cross-multiply: 25*135 = 3375 and 45*75 = 3375. These are equal, so the proportion is true.
The second proportion is (24)/(30)=(20)/(25). Cross-multiply: 24*25 = 600 and 30*20 = 600. The products are equal, so this proportion is also true.
The third proportion is (18)/(48)=(20)/(50). Cross-multiply: 18*50 = 900 and 48*20= 960. The products are not the same, hence this proportion is false.
The final proportion is (10)/(25)=(40)/(100). Cross-multiplying gives 10*100 = 1000 and 25*40 = 1000. Since these are equal, this proportion is true.
Therefore, the false proportion is (18)/(48)=(20)/(50).
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