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Finding the Fourth Proportional to 108.15, 161.96 and 71.97

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Solution

The fourth proportional to 108.15, 161.96 and 71.97 is: 107.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.15 : 161.96 = 71.97 : x
  2. Step 2: Convert to fraction form
    108.15/161.96 = 71.97/x
  3. Step 3: Cross multiply
    108.15x = 161.96 × 71.97
  4. Step 4: Simplify right side
    108.15x = 11,655.90
  5. Step 5: Solve for x
    x = 11,655.90/108.15
  6. Step 6: Final answer
    x = 107.78

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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.