Respuesta :
Value of [tex]x[/tex] is [tex]18[/tex]
Ratio and Proportion
- Value of [tex]\boldsymbol{x}[/tex] can be found by using concept of ratio and proportion.
- A ratio expresses the amount of times one number contains the other.
- A proportion is a mathematical expression in which two ratios are specified to be equal.
- The ratio is used to compare the sizes of two objects that have the same unit of measurement. The proportion is a mathematical expression that expresses the relationship between two ratios.
Consider the following equation:
[tex]72:64=x:16[/tex]
[tex]\frac{72}{64}=\frac{x}{16}[/tex]
[tex]64x=72\times 16[/tex]
[tex]x=\frac{72\times 16}{64}[/tex]
[tex]=18[/tex]
So, value of [tex]x[/tex] is [tex]\boldsymbol{18}[/tex].
Find out more information about ratio here:
https://brainly.com/question/1504221?referrer=searchResults