Solve 18.3/x=6.72/22.4

$$\frac{ 18.3 }{ x } = \frac{ 6.72 }{ 22.4 }$$

Solve for x

$$x=61$$

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.

$$18.3=x\times \frac{6.72}{22.4}$$

Expand \frac{6.72}{22.4} by multiplying both numerator and the denominator by 100.

$$18.3=x\times \frac{672}{2240}$$

Reduce the fraction \frac{672}{2240} to lowest terms by extracting and canceling out 224.

$$18.3=x\times \frac{3}{10}$$

Swap sides so that all variable terms are on the left hand side.

$$x\times \frac{3}{10}=18.3$$

Multiply both sides by \frac{10}{3}, the reciprocal of \frac{3}{10}.

$$x=18.3\times \frac{10}{3}$$

Convert decimal number 18.3 to fraction \frac{183}{10}.

$$x=\frac{183}{10}\times \frac{10}{3}$$

Multiply \frac{183}{10} times \frac{10}{3} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{183\times 10}{10\times 3}$$

Cancel out 10 in both numerator and denominator.

$$x=\frac{183}{3}$$

Divide 183 by 3 to get 61.

$$x=61$$