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Finding the Fourth Proportional to 81.46, 112.61 and 76.02

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Solution

The fourth proportional to 81.46, 112.61 and 76.02 is: 105.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.46 : 112.61 = 76.02 : x
  2. Step 2: Convert to fraction form
    81.46/112.61 = 76.02/x
  3. Step 3: Cross multiply
    81.46x = 112.61 × 76.02
  4. Step 4: Simplify right side
    81.46x = 8,560.61
  5. Step 5: Solve for x
    x = 8,560.61/81.46
  6. Step 6: Final answer
    x = 105.09

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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.