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Finding the Fourth Proportional to 80.49, 120.74 and 34.85

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Solution

The fourth proportional to 80.49, 120.74 and 34.85 is: 52.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.49 : 120.74 = 34.85 : x
  2. Step 2: Convert to fraction form
    80.49/120.74 = 34.85/x
  3. Step 3: Cross multiply
    80.49x = 120.74 × 34.85
  4. Step 4: Simplify right side
    80.49x = 4,207.01
  5. Step 5: Solve for x
    x = 4,207.01/80.49
  6. Step 6: Final answer
    x = 52.27

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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.