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Finding the Fourth Proportional to 81.12, 112 and 71.52

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Solution

The fourth proportional to 81.12, 112 and 71.52 is: 98.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.12 : 112 = 71.52 : x
  2. Step 2: Convert to fraction form
    81.12/112 = 71.52/x
  3. Step 3: Cross multiply
    81.12x = 112 × 71.52
  4. Step 4: Simplify right side
    81.12x = 8,010.24
  5. Step 5: Solve for x
    x = 8,010.24/81.12
  6. Step 6: Final answer
    x = 98.75

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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.