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Finding the Fourth Proportional to 38.20, 57.26 and 29.22

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Solution

The fourth proportional to 38.20, 57.26 and 29.22 is: 43.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.20 : 57.26 = 29.22 : x
  2. Step 2: Convert to fraction form
    38.20/57.26 = 29.22/x
  3. Step 3: Cross multiply
    38.20x = 57.26 × 29.22
  4. Step 4: Simplify right side
    38.20x = 1,672.70
  5. Step 5: Solve for x
    x = 1,672.70/38.20
  6. Step 6: Final answer
    x = 43.79

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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.