Final answer:
A) 27.The missing value (x) in the problem is 27, which is option A.
Step-by-step explanation:
The correct answer is option A) 27.
In this problem, we have the equation 32:3:9 = x:81.
To find the missing value of x, we can use the rule xPx9 = x(p+q), where p and q represent the given numbers in the equation.
Using this rule, we can substitute the values into the equation as follows:
Multiplying 32 by 9, we get 288. Dividing both sides of the equation by 84, we find that x = 27.
The correct answer is option B) 108. To find the missing value (x) in the proportion 32:3:9 = x:81, we can use the rule xPx9 = x(p+q). In this context, it means we are finding a proportional value for x that maintains the ratio between the numbers. By cross-multiplying in the proportion, we multiply the means and the extremes.
The product of the means is 3 times 81, and the product of the extremes is 32 times 9. So the equation becomes 32 × 9 = x × 3. To isolate x, we divide both sides by 3: