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Finding the Fourth Proportional to 80.22, 120.34 and 34.57

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Solution

The fourth proportional to 80.22, 120.34 and 34.57 is: 51.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.22 : 120.34 = 34.57 : x
  2. Step 2: Convert to fraction form
    80.22/120.34 = 34.57/x
  3. Step 3: Cross multiply
    80.22x = 120.34 × 34.57
  4. Step 4: Simplify right side
    80.22x = 4,160.29
  5. Step 5: Solve for x
    x = 4,160.29/80.22
  6. Step 6: Final answer
    x = 51.86

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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.