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Finding the Fourth Proportional to 70.29, 104.74 and 67.71

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Solution

The fourth proportional to 70.29, 104.74 and 67.71 is: 100.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.29 : 104.74 = 67.71 : x
  2. Step 2: Convert to fraction form
    70.29/104.74 = 67.71/x
  3. Step 3: Cross multiply
    70.29x = 104.74 × 67.71
  4. Step 4: Simplify right side
    70.29x = 7,091.95
  5. Step 5: Solve for x
    x = 7,091.95/70.29
  6. Step 6: Final answer
    x = 100.90

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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.