Respuesta :
Answer:
x is equal to 64/3.
Step-by-step explanation:
Givens
[tex]x[/tex], [tex]y[/tex] and [tex]z[/tex] are in proportion, which means the must form equal ratios.
Where [tex]y=16[/tex] and [tex]z=12[/tex]
The given ratio is:
[tex]\frac{y}{z}=\frac{16}{12}=\frac{4}{3}[/tex]
If all three numbers are in proportion, we can construct the following expression
[tex]\frac{x}{y}=\frac{4}{3}\\\frac{x}{16}=\frac{4}{3}\\x=\frac{4}{3} \times 16\\ x= \frac{64}{3}[/tex]
Replacing values, we have
Therefore, x is equal to 64/3.
