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Finding the Fourth Proportional to 102.32, 140.20 and 101.96

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Solution

The fourth proportional to 102.32, 140.20 and 101.96 is: 139.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.32 : 140.20 = 101.96 : x
  2. Step 2: Convert to fraction form
    102.32/140.20 = 101.96/x
  3. Step 3: Cross multiply
    102.32x = 140.20 × 101.96
  4. Step 4: Simplify right side
    102.32x = 14,294.79
  5. Step 5: Solve for x
    x = 14,294.79/102.32
  6. Step 6: Final answer
    x = 139.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.