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Finding the Fourth Proportional to 39.38, 54.34 and 22.13

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Solution

The fourth proportional to 39.38, 54.34 and 22.13 is: 30.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.38 : 54.34 = 22.13 : x
  2. Step 2: Convert to fraction form
    39.38/54.34 = 22.13/x
  3. Step 3: Cross multiply
    39.38x = 54.34 × 22.13
  4. Step 4: Simplify right side
    39.38x = 1,202.54
  5. Step 5: Solve for x
    x = 1,202.54/39.38
  6. Step 6: Final answer
    x = 30.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.