Finding the Fourth Proportional to 110.71, 166.08 and 97.99
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Solution
The fourth proportional to 110.71, 166.08 and 97.99 is: 146.99
Step by Step Solution
- Step 1: Write the proportion equation
110.71 : 166.08 = 97.99 : x - Step 2: Convert to fraction form
110.71/166.08 = 97.99/x - Step 3: Cross multiply
110.71x = 166.08 × 97.99 - Step 4: Simplify right side
110.71x = 16,272.86 - Step 5: Solve for x
x = 16,272.86/110.71 - Step 6: Final answer
x = 146.99
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.