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Finding the Fourth Proportional to 81.52, 112.26 and 73.78

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Solution

The fourth proportional to 81.52, 112.26 and 73.78 is: 101.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.52 : 112.26 = 73.78 : x
  2. Step 2: Convert to fraction form
    81.52/112.26 = 73.78/x
  3. Step 3: Cross multiply
    81.52x = 112.26 × 73.78
  4. Step 4: Simplify right side
    81.52x = 8,282.54
  5. Step 5: Solve for x
    x = 8,282.54/81.52
  6. Step 6: Final answer
    x = 101.60

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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.