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Finding the Fourth Proportional to 73.72, 109.97 and 67.66

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Solution

The fourth proportional to 73.72, 109.97 and 67.66 is: 100.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.72 : 109.97 = 67.66 : x
  2. Step 2: Convert to fraction form
    73.72/109.97 = 67.66/x
  3. Step 3: Cross multiply
    73.72x = 109.97 × 67.66
  4. Step 4: Simplify right side
    73.72x = 7,440.57
  5. Step 5: Solve for x
    x = 7,440.57/73.72
  6. Step 6: Final answer
    x = 100.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.