The solution of the given proportion. Given: w2=4.56.8

Calculation:
The given ratios can be simplified further by doing cross product:
${\displaystyle \frac{w}{2}=\frac{4.5}{6.8}}$
${\displaystyle w\left(6.8\right)=2\left(4.5\right)}$
${\displaystyle 6.8w=9}$
${\displaystyle \frac{6.8w}{6.8}=\frac{9}{6.8}}$
${\displaystyle w=1.32}$

Step 1
Given proportion: ${\displaystyle \frac{w}{2}=\frac{4.5}{6.8}}$
The cross product is
${\displaystyle w\times 6.8=2\times 4.5}$
Solving for w
${\displaystyle w=\frac{2\times 4.5}{6.8}}$
and reducing
${\displaystyle w=1.3235294117647}$

Step 1
Given:
$\frac{w}{2}=\frac{4.5}{6.8}$
Multiply both sides of the equation by 2.
$w=2\times (\frac{4.5}{6.8})$
Expand $\frac{4.5}{6.8}$ by multiplying both numerator and the denominator by 10.
$w=2\times (\frac{45}{68})$
Express $2\times (\frac{45}{68})$ as a single fraction
$w=\frac{2\times 45}{68}$
Multiply 2 and 45 to get 90.
$w=\frac{90}{68}$
Reduce the fraction $\frac{90}{68}$ to lowest terms by extracting and canceling out 2.
$w=\frac{45}{34}=1\frac{11}{34}\approx 1.32$