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Finding the Fourth Proportional to 69.13, 95.43 and 59.91

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Solution

The fourth proportional to 69.13, 95.43 and 59.91 is: 82.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.13 : 95.43 = 59.91 : x
  2. Step 2: Convert to fraction form
    69.13/95.43 = 59.91/x
  3. Step 3: Cross multiply
    69.13x = 95.43 × 59.91
  4. Step 4: Simplify right side
    69.13x = 5,717.21
  5. Step 5: Solve for x
    x = 5,717.21/69.13
  6. Step 6: Final answer
    x = 82.70

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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.