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Finding the Fourth Proportional to 108.01, 149.12 and 81.76

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Solution

The fourth proportional to 108.01, 149.12 and 81.76 is: 112.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.01 : 149.12 = 81.76 : x
  2. Step 2: Convert to fraction form
    108.01/149.12 = 81.76/x
  3. Step 3: Cross multiply
    108.01x = 149.12 × 81.76
  4. Step 4: Simplify right side
    108.01x = 12,192.05
  5. Step 5: Solve for x
    x = 12,192.05/108.01
  6. Step 6: Final answer
    x = 112.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.