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Finding the Fourth Proportional to 71.67, 106.73 and 67.29

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Solution

The fourth proportional to 71.67, 106.73 and 67.29 is: 100.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.67 : 106.73 = 67.29 : x
  2. Step 2: Convert to fraction form
    71.67/106.73 = 67.29/x
  3. Step 3: Cross multiply
    71.67x = 106.73 × 67.29
  4. Step 4: Simplify right side
    71.67x = 7,181.53
  5. Step 5: Solve for x
    x = 7,181.53/71.67
  6. Step 6: Final answer
    x = 100.20

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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.