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Finding the Fourth Proportional to 108.14, 161.96 and 99.71

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Solution

The fourth proportional to 108.14, 161.96 and 99.71 is: 149.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.14 : 161.96 = 99.71 : x
  2. Step 2: Convert to fraction form
    108.14/161.96 = 99.71/x
  3. Step 3: Cross multiply
    108.14x = 161.96 × 99.71
  4. Step 4: Simplify right side
    108.14x = 16,148.22
  5. Step 5: Solve for x
    x = 16,148.22/108.14
  6. Step 6: Final answer
    x = 149.33

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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.