What is the value of x if 16 : 24 :: x : 72?
- 12
- 48
- 72
- None of these
Explanation
The given ratio is 16:24, which can be simplified as 2:3 (by dividing both numbers by 8).
To maintain the same ratio, we need to find the number that will maintain the 2:3 ratio with 72.
Let's multiply 72 by 2/3:
(2/3) × 72 = 48
So, the correct answer is: 48
The ratio 16:24 is equivalent to 2:3, and similarly, the ratio ? : 72 is equivalent to 2:3, which leads to the answer 48.
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