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Finding the Fourth Proportional to 70.73, 106.01 and 69.97

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Solution

The fourth proportional to 70.73, 106.01 and 69.97 is: 104.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.73 : 106.01 = 69.97 : x
  2. Step 2: Convert to fraction form
    70.73/106.01 = 69.97/x
  3. Step 3: Cross multiply
    70.73x = 106.01 × 69.97
  4. Step 4: Simplify right side
    70.73x = 7,417.52
  5. Step 5: Solve for x
    x = 7,417.52/70.73
  6. Step 6: Final answer
    x = 104.87

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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.