Question

144 : 23 :: 169 :
A) 32
(C) 25
(B) 24
(D) 26
​

Answer 1

SOLUTION

Let the fourth proportion be x

=) 144 : 23 :: 169 : x

=) 144× x= 23× 169

=) x= 23× 169/144

=) x= 26.99

hope it helps ☺️

Answer 2

Logical Reasoning

(c) 25

In these type of problems we need to find out the relationship between the first pair of numbers and then apply same kind of relationship in 2nd pair of numbers.

Hence, the relationship among first two numbers is 2nd number is the (twice the square root of 1st number -1).

Which means

$144: \sqrt{144}-1\\\implies 144:(12\times2-1)\\\implies 144:23$

So, for 2nd pair, First number is 169, so 2nd number will be,

$(\sqrt{169}\times2-1) =25$

Hence, the requited answer is 25.