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Finding the Fourth Proportional to 80.91, 121.41 and 32.82

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Solution

The fourth proportional to 80.91, 121.41 and 32.82 is: 49.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.91 : 121.41 = 32.82 : x
  2. Step 2: Convert to fraction form
    80.91/121.41 = 32.82/x
  3. Step 3: Cross multiply
    80.91x = 121.41 × 32.82
  4. Step 4: Simplify right side
    80.91x = 3,984.68
  5. Step 5: Solve for x
    x = 3,984.68/80.91
  6. Step 6: Final answer
    x = 49.25

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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.