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Finding the Fourth Proportional to 70.67, 106.11 and 66.83

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Solution

The fourth proportional to 70.67, 106.11 and 66.83 is: 100.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.67 : 106.11 = 66.83 : x
  2. Step 2: Convert to fraction form
    70.67/106.11 = 66.83/x
  3. Step 3: Cross multiply
    70.67x = 106.11 × 66.83
  4. Step 4: Simplify right side
    70.67x = 7,090.80
  5. Step 5: Solve for x
    x = 7,090.80/70.67
  6. Step 6: Final answer
    x = 100.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.