Finding the Fourth Proportional to 110.25, 164.97 and 79.74
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Solution
The fourth proportional to 110.25, 164.97 and 79.74 is: 119.32
Step by Step Solution
- Step 1: Write the proportion equation
110.25 : 164.97 = 79.74 : x - Step 2: Convert to fraction form
110.25/164.97 = 79.74/x - Step 3: Cross multiply
110.25x = 164.97 × 79.74 - Step 4: Simplify right side
110.25x = 13,154.71 - Step 5: Solve for x
x = 13,154.71/110.25 - Step 6: Final answer
x = 119.32
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.