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Finding the Fourth Proportional to 39.28, 54.19 and 22.91

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Solution

The fourth proportional to 39.28, 54.19 and 22.91 is: 31.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.28 : 54.19 = 22.91 : x
  2. Step 2: Convert to fraction form
    39.28/54.19 = 22.91/x
  3. Step 3: Cross multiply
    39.28x = 54.19 × 22.91
  4. Step 4: Simplify right side
    39.28x = 1,241.49
  5. Step 5: Solve for x
    x = 1,241.49/39.28
  6. Step 6: Final answer
    x = 31.61

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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.