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Finding the Fourth Proportional to 81.52, 122.32 and 33.46

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Solution

The fourth proportional to 81.52, 122.32 and 33.46 is: 50.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.52 : 122.32 = 33.46 : x
  2. Step 2: Convert to fraction form
    81.52/122.32 = 33.46/x
  3. Step 3: Cross multiply
    81.52x = 122.32 × 33.46
  4. Step 4: Simplify right side
    81.52x = 4,092.83
  5. Step 5: Solve for x
    x = 4,092.83/81.52
  6. Step 6: Final answer
    x = 50.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.