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Finding the Fourth Proportional to 72.68, 99.16 and 71.76

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Solution

The fourth proportional to 72.68, 99.16 and 71.76 is: 97.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.68 : 99.16 = 71.76 : x
  2. Step 2: Convert to fraction form
    72.68/99.16 = 71.76/x
  3. Step 3: Cross multiply
    72.68x = 99.16 × 71.76
  4. Step 4: Simplify right side
    72.68x = 7,115.72
  5. Step 5: Solve for x
    x = 7,115.72/72.68
  6. Step 6: Final answer
    x = 97.90

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.