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Finding the Fourth Proportional to 71.32, 106.97 and 19.97

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Solution

The fourth proportional to 71.32, 106.97 and 19.97 is: 29.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.32 : 106.97 = 19.97 : x
  2. Step 2: Convert to fraction form
    71.32/106.97 = 19.97/x
  3. Step 3: Cross multiply
    71.32x = 106.97 × 19.97
  4. Step 4: Simplify right side
    71.32x = 2,135.56
  5. Step 5: Solve for x
    x = 2,135.56/71.32
  6. Step 6: Final answer
    x = 29.95

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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.