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Finding the Fourth Proportional to 95.10, 141.98 and 81.42

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Solution

The fourth proportional to 95.10, 141.98 and 81.42 is: 121.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.10 : 141.98 = 81.42 : x
  2. Step 2: Convert to fraction form
    95.10/141.98 = 81.42/x
  3. Step 3: Cross multiply
    95.10x = 141.98 × 81.42
  4. Step 4: Simplify right side
    95.10x = 11,560.01
  5. Step 5: Solve for x
    x = 11,560.01/95.10
  6. Step 6: Final answer
    x = 121.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.