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Finding the Fourth Proportional to 81.78, 113.63 and 80.82

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Solution

The fourth proportional to 81.78, 113.63 and 80.82 is: 112.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.78 : 113.63 = 80.82 : x
  2. Step 2: Convert to fraction form
    81.78/113.63 = 80.82/x
  3. Step 3: Cross multiply
    81.78x = 113.63 × 80.82
  4. Step 4: Simplify right side
    81.78x = 9,183.17
  5. Step 5: Solve for x
    x = 9,183.17/81.78
  6. Step 6: Final answer
    x = 112.29

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.