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Finding the Fourth Proportional to 81.76, 112.72 and 71.44

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Solution

The fourth proportional to 81.76, 112.72 and 71.44 is: 98.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.76 : 112.72 = 71.44 : x
  2. Step 2: Convert to fraction form
    81.76/112.72 = 71.44/x
  3. Step 3: Cross multiply
    81.76x = 112.72 × 71.44
  4. Step 4: Simplify right side
    81.76x = 8,052.72
  5. Step 5: Solve for x
    x = 8,052.72/81.76
  6. Step 6: Final answer
    x = 98.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.