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Finding the Fourth Proportional to 69.11, 95.41 and 61.42

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Solution

The fourth proportional to 69.11, 95.41 and 61.42 is: 84.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.11 : 95.41 = 61.42 : x
  2. Step 2: Convert to fraction form
    69.11/95.41 = 61.42/x
  3. Step 3: Cross multiply
    69.11x = 95.41 × 61.42
  4. Step 4: Simplify right side
    69.11x = 5,859.90
  5. Step 5: Solve for x
    x = 5,859.90/69.11
  6. Step 6: Final answer
    x = 84.79

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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.