Solve 0.130/4.250=0.108/x

$$\frac { 0.130 } { 4.250 } = \frac { 0.108 } { x }$$

Solve for x

$$x = \frac{459}{130} = 3\frac{69}{130} \approx 3.530769231$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$x\times \frac{0.13}{4.25}=0.108$$

Expand \frac{0.13}{4.25} by multiplying both numerator and the denominator by 100.

$$x\times \frac{13}{425}=0.108$$

Multiply both sides by \frac{425}{13}, the reciprocal of \frac{13}{425}.

$$x=0.108\times \frac{425}{13}$$

Convert decimal number 0.108 to fraction \frac{108}{1000}. Reduce the fraction \frac{108}{1000} to lowest terms by extracting and canceling out 4.

$$x=\frac{27}{250}\times \frac{425}{13}$$

Multiply \frac{27}{250} times \frac{425}{13} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{27\times 425}{250\times 13}$$

Do the multiplications in the fraction \frac{27\times 425}{250\times 13}.

$$x=\frac{11475}{3250}$$

Reduce the fraction \frac{11475}{3250} to lowest terms by extracting and canceling out 25.

$$x=\frac{459}{130}$$