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Finding the Fourth Proportional to 71.26, 106.91 and 27.97

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Solution

The fourth proportional to 71.26, 106.91 and 27.97 is: 41.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.26 : 106.91 = 27.97 : x
  2. Step 2: Convert to fraction form
    71.26/106.91 = 27.97/x
  3. Step 3: Cross multiply
    71.26x = 106.91 × 27.97
  4. Step 4: Simplify right side
    71.26x = 2,990.27
  5. Step 5: Solve for x
    x = 2,990.27/71.26
  6. Step 6: Final answer
    x = 41.96

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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.