Question

in a proportion the 1st,3rd and 4th terms are 51,81 and 108 respectively. find the 2nd term​

Answer 1

Answer:

51:x::81:108

51/x=81/108

81x=51*108

x=5508/81

x=68

Answer 2

Answer :

The second term is 68.

Explanation :-

In the proportion we have

First term is 51.

Second term be x.

Third term is 81.

Fourth term is 108.

On solving:-

$= > 51 : x :: 81 : 108 \\ = > \frac{51}{x} = \frac{81}{108} \\ = > x = \frac{108 \times 51}{81} \\ = > x = \frac{108 \times \cancel51}{ \cancel81} \\ = > x = \frac{108 \times 17}{27} \\ = > x = \frac{ \cancel108 \times 17}{ \cancel27} \\ = > x = 4 \times 17 \\ = > \boxed{x = 68}$

Therefore:-

The value of x is 68.