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Finding the Fourth Proportional to 81.80, 112.67 and 76.13

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Solution

The fourth proportional to 81.80, 112.67 and 76.13 is: 104.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.80 : 112.67 = 76.13 : x
  2. Step 2: Convert to fraction form
    81.80/112.67 = 76.13/x
  3. Step 3: Cross multiply
    81.80x = 112.67 × 76.13
  4. Step 4: Simplify right side
    81.80x = 8,577.47
  5. Step 5: Solve for x
    x = 8,577.47/81.80
  6. Step 6: Final answer
    x = 104.86

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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.