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Finding the Fourth Proportional to 52.20, 78.14 and 38.44

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Solution

The fourth proportional to 52.20, 78.14 and 38.44 is: 57.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.20 : 78.14 = 38.44 : x
  2. Step 2: Convert to fraction form
    52.20/78.14 = 38.44/x
  3. Step 3: Cross multiply
    52.20x = 78.14 × 38.44
  4. Step 4: Simplify right side
    52.20x = 3,003.70
  5. Step 5: Solve for x
    x = 3,003.70/52.20
  6. Step 6: Final answer
    x = 57.54

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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.