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Finding the Fourth Proportional to 81.59, 112.43 and 59.76

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Solution

The fourth proportional to 81.59, 112.43 and 59.76 is: 82.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.59 : 112.43 = 59.76 : x
  2. Step 2: Convert to fraction form
    81.59/112.43 = 59.76/x
  3. Step 3: Cross multiply
    81.59x = 112.43 × 59.76
  4. Step 4: Simplify right side
    81.59x = 6,718.97
  5. Step 5: Solve for x
    x = 6,718.97/81.59
  6. Step 6: Final answer
    x = 82.36

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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.