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Finding the Fourth Proportional to 89.15, 133.17 and 71.13

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Solution

The fourth proportional to 89.15, 133.17 and 71.13 is: 106.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.15 : 133.17 = 71.13 : x
  2. Step 2: Convert to fraction form
    89.15/133.17 = 71.13/x
  3. Step 3: Cross multiply
    89.15x = 133.17 × 71.13
  4. Step 4: Simplify right side
    89.15x = 9,472.38
  5. Step 5: Solve for x
    x = 9,472.38/89.15
  6. Step 6: Final answer
    x = 106.26

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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.