Which pair of ratios is proportional?

A. \(\frac{4}{9}\) and \(\frac{16}{45}\)

B. \(\frac{5}{12}\) and \(\frac{25}{144}\)

C. \(\frac{12}{18}\) and \(\frac{18}{27}\)

D. \(\frac{15}{20}\) and \(\frac{7}{10}\)

A. 4/9 and 16/45 16 / 4 = 4 45 / 9 = 5 Disproportional
B.5/12 and 25/144 25 / 5 = 5 144 / 12 = 12 Disproportional
C. 12/18 and 18/27 18 / 12 = 3/2 27 / 18 = 3/2 Proportional
D. 15/20 and 7/10 7 / 15 = 7/15 10 / 20 = 1/2 Disproportional
Answer: (c)

Answered by iloveonedirection | 2024-06-10

Let us check each of these.
A) 4/9 and 16/45 or, 1.44 and 1.355 1.44 ≠ 1.355 ( Wrong)
B) 5/12 and 25/144 or, 1.416 and1.17 1.416 ≠ 1.17 (wrong)
C) 12/18 and 18/27
or, 1.66 and 1.66 1.66 = 1.66 (Correct)
D) 15/20 and 7/10 =0.75 and 0.70 0.75 ≠ 0.70
Thus, the answer is (C)

Answered by tadvisohil886 | 2024-06-10

The pair of ratios that is proportional is option C: 18 12 ​ and 27 18 ​ , as their cross-products are equal. The other pairs do not have equal cross-products, making them non-proportional. Therefore, only option C meets the criteria for proportionality.
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Answered by iloveonedirection | 2025-01-06