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Finding the Fourth Proportional to 73.29, 100.96 and 61.56

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Solution

The fourth proportional to 73.29, 100.96 and 61.56 is: 84.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.29 : 100.96 = 61.56 : x
  2. Step 2: Convert to fraction form
    73.29/100.96 = 61.56/x
  3. Step 3: Cross multiply
    73.29x = 100.96 × 61.56
  4. Step 4: Simplify right side
    73.29x = 6,215.10
  5. Step 5: Solve for x
    x = 6,215.10/73.29
  6. Step 6: Final answer
    x = 84.80

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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.