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Finding the Fourth Proportional to 73.29, 100.53 and 71.97

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Solution

The fourth proportional to 73.29, 100.53 and 71.97 is: 98.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.29 : 100.53 = 71.97 : x
  2. Step 2: Convert to fraction form
    73.29/100.53 = 71.97/x
  3. Step 3: Cross multiply
    73.29x = 100.53 × 71.97
  4. Step 4: Simplify right side
    73.29x = 7,235.14
  5. Step 5: Solve for x
    x = 7,235.14/73.29
  6. Step 6: Final answer
    x = 98.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.