If eight and three are in the same ratio as 96 and 𝑥, then find the value of 𝑥.
If these two pairs of values are in the same ratio, then their proportions are the same. This means that the fraction eight over three is the same as the fraction 96 over 𝑥. This gives an equation that we can solve in order to find the value of 𝑥.
The first step is to cross-multiply the two sides of the equation. This gives eight 𝑥 is equal to three multiplied by 96. The next step is to divide both sides of the equation by eight. This gives 𝑥 is equal to three multiplied by 96 over eight.
96 and eight can both be divided by eight, leaving a factor of 12 in the numerator and a factor of one in the denominator. The equation can therefore be simplified to 𝑥 is equal to 36. The value of 𝑥 is 36.