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Finding the Fourth Proportional to 102.28, 141.32 and 81.76

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Solution

The fourth proportional to 102.28, 141.32 and 81.76 is: 112.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.28 : 141.32 = 81.76 : x
  2. Step 2: Convert to fraction form
    102.28/141.32 = 81.76/x
  3. Step 3: Cross multiply
    102.28x = 141.32 × 81.76
  4. Step 4: Simplify right side
    102.28x = 11,554.32
  5. Step 5: Solve for x
    x = 11,554.32/102.28
  6. Step 6: Final answer
    x = 112.97

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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.