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Finding the Fourth Proportional to 80.53, 120.78 and 29.16

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Solution

The fourth proportional to 80.53, 120.78 and 29.16 is: 43.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.53 : 120.78 = 29.16 : x
  2. Step 2: Convert to fraction form
    80.53/120.78 = 29.16/x
  3. Step 3: Cross multiply
    80.53x = 120.78 × 29.16
  4. Step 4: Simplify right side
    80.53x = 3,521.94
  5. Step 5: Solve for x
    x = 3,521.94/80.53
  6. Step 6: Final answer
    x = 43.74

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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.