Question

Find the ans with reason.
66:144::77:?

Answer 1

Answer:

66:144::77:?

(6+6)²=144

(7+7)²=196

Step-by-step explanation:

Answer 2

Given,

66:144::77:?

To Find,

The answer with reason

Solution,

We can solve the question as follows:

It is given that two ratios are in proportion and we have to find the denominator of the second ratio.

$66:144\: ::\: 77:?$

When two ratios are in proportion or equal, the product of their means is equal to the product of their extremes. For example,

$\frac{a}{b} = \frac{c}{d}$

Then,

$a*d = b*c$

In the given question, let the unknown integer be equal to x.

$\frac{66}{144} = \frac{77}{x}$

Therefore,

$66*x = 77*144$

$x = \frac{77*144}{66}$

$x = \frac{7*144}{6}$

$x = 7*24$

$x = 168$

Hence, 66:144::77:168.