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Finding the Fourth Proportional to 80.96, 121.44 and 29.61

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Solution

The fourth proportional to 80.96, 121.44 and 29.61 is: 44.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.96 : 121.44 = 29.61 : x
  2. Step 2: Convert to fraction form
    80.96/121.44 = 29.61/x
  3. Step 3: Cross multiply
    80.96x = 121.44 × 29.61
  4. Step 4: Simplify right side
    80.96x = 3,595.53
  5. Step 5: Solve for x
    x = 3,595.53/80.96
  6. Step 6: Final answer
    x = 44.41

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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.