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Finding the Fourth Proportional to 71.96, 108.07 and 55.76

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Solution

The fourth proportional to 71.96, 108.07 and 55.76 is: 83.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.96 : 108.07 = 55.76 : x
  2. Step 2: Convert to fraction form
    71.96/108.07 = 55.76/x
  3. Step 3: Cross multiply
    71.96x = 108.07 × 55.76
  4. Step 4: Simplify right side
    71.96x = 6,025.30
  5. Step 5: Solve for x
    x = 6,025.30/71.96
  6. Step 6: Final answer
    x = 83.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.