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Finding the Fourth Proportional to 69.59, 95.96 and 55.78

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Solution

The fourth proportional to 69.59, 95.96 and 55.78 is: 76.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.59 : 95.96 = 55.78 : x
  2. Step 2: Convert to fraction form
    69.59/95.96 = 55.78/x
  3. Step 3: Cross multiply
    69.59x = 95.96 × 55.78
  4. Step 4: Simplify right side
    69.59x = 5,351.89
  5. Step 5: Solve for x
    x = 5,351.89/69.59
  6. Step 6: Final answer
    x = 76.91

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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.