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Finding the Fourth Proportional to 81.22, 121.75 and 32.46

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Solution

The fourth proportional to 81.22, 121.75 and 32.46 is: 48.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.22 : 121.75 = 32.46 : x
  2. Step 2: Convert to fraction form
    81.22/121.75 = 32.46/x
  3. Step 3: Cross multiply
    81.22x = 121.75 × 32.46
  4. Step 4: Simplify right side
    81.22x = 3,951.90
  5. Step 5: Solve for x
    x = 3,951.90/81.22
  6. Step 6: Final answer
    x = 48.66

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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.