Question

Find the value of x,if the following ratios are in inverse proportion:2.6:x and 7.6:15.2​

Answer 1

Answer

5.2

Step-by-step explanation:

7.6×2=15.2

2.6×2=5.2

Answer 2

$Inverse \: proportion \: of \: 2.6 : x \: and \\7.6 : 15.2$

$\implies x : 2.6 = 15.2 : 7.6$

$\pink {Product \: of \: extremes = product \:of \:means }$

$\implies x \times 7.6 = 2.6 \times 15.2$

$\implies x = \frac{2.6 \times 15.2}{7.6}$

$\implies x = 2.6 \times 2$

$\implies x = 5.2$

Therefore.,

$\red{ Value \: of \: x } \green { = 5.2}$

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