Respuesta :

Answer:

18

Explanation:

64/16=4

72/4=18

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

ACCESS MORE