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Finding the Fourth Proportional to 71.67, 106.98 and 66.93

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Solution

The fourth proportional to 71.67, 106.98 and 66.93 is: 99.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.67 : 106.98 = 66.93 : x
  2. Step 2: Convert to fraction form
    71.67/106.98 = 66.93/x
  3. Step 3: Cross multiply
    71.67x = 106.98 × 66.93
  4. Step 4: Simplify right side
    71.67x = 7,160.17
  5. Step 5: Solve for x
    x = 7,160.17/71.67
  6. Step 6: Final answer
    x = 99.90

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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.