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Finding the Fourth Proportional to 71.22, 106.82 and 27.86

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Solution

The fourth proportional to 71.22, 106.82 and 27.86 is: 41.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.22 : 106.82 = 27.86 : x
  2. Step 2: Convert to fraction form
    71.22/106.82 = 27.86/x
  3. Step 3: Cross multiply
    71.22x = 106.82 × 27.86
  4. Step 4: Simplify right side
    71.22x = 2,975.33
  5. Step 5: Solve for x
    x = 2,975.33/71.22
  6. Step 6: Final answer
    x = 41.78

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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.