Question

is 40,60,68 and x are in proportion, what is the value of x ?

Answer 1

Elo!! ⭐⭐

Here's ur answer :-❤


$product \: of \: extremes = \\ product \: of \: means \\ \\ 40 \times x = 60 \times 68 \\ \\ x = \frac{60 \times 68}{40} \\ \\ x = 102$

Both LHS and RHS are equal to each other..

Hope it helps ✌

❤Thanks❤

Answer 2

$\textbf{\underline{\underline{Answer :-}}}$

The the value of x is 102

$\textbf{\underline{\underline{Explanation :-}}}$

Given :

The numbers = 40,60,68 and x

To find :

The value of x

Solution :

Proportion = 40 : 60 : 68 : x

$\star$As we know :

$\boxed{\sf{Mean \times Mean \: terms = Extreme \times Extreme \: terms}}$

Here,

Mean Terms = 60 and 68

Extreme Terms = 40 and x

$\sf{\implies60 \times 68 = 40 \times x}$

$\sf{\implies4080 = 40x}$

$\sf{\implies \: x = \dfrac{4080}{40} }$

$\sf{\implies \: x = 102}$

$\boxed{\sf{x = 102}}$

$\therefore$ The the value of x is 102

$\textbf{\underline{\underline{Verification :-}}}$

$\sf{\implies60 \times 68 = 40 \times 102}$

$\sf{\implies4080 = 4080}$

When we placed the value of x (102) we got the required answer 4080 which proves that x = 102

$\therefore$ The the value of x is 102