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The fourth proportion to 12, 24 and 27 is the same as the third proportion to A and 36.What is the value of A?
Question

The fourth proportion to 12, 24 and 27 is the same as the third proportion to A and 36.What is the value of A?

A.

22

B.

24

C.

26

D.

20

Correct option is B

Given:
Fourth proportion to 12, 24, and 27 is the same as the third proportion to A and 36.
Formula Used:
Fourth Proportion Formula: If a, b, and c are given, the fourth proportion x is found using the formula:
ab=cx\frac{a}{b} = \frac{c}{x}​​
Solving for x:
x=b×cax = \frac{b \times c}{a}​​
Third Proportion Formula: If a and b are given, the third proportion x is found using the formula:
ab=bx\frac{a}{b} = \frac{b}{x}​​
Solving for x:
x=b2ax = \frac{b^2}{a}​​
Solution:  
For fourth proportion:
For third proportion
Now, 

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