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Finding the Fourth Proportional to 81.59, 112.64 and 76.43

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Solution

The fourth proportional to 81.59, 112.64 and 76.43 is: 105.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.59 : 112.64 = 76.43 : x
  2. Step 2: Convert to fraction form
    81.59/112.64 = 76.43/x
  3. Step 3: Cross multiply
    81.59x = 112.64 × 76.43
  4. Step 4: Simplify right side
    81.59x = 8,608.77
  5. Step 5: Solve for x
    x = 8,608.77/81.59
  6. Step 6: Final answer
    x = 105.51

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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.