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Finding the Fourth Proportional to 39.71, 54.87 and 30.55

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Solution

The fourth proportional to 39.71, 54.87 and 30.55 is: 42.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.71 : 54.87 = 30.55 : x
  2. Step 2: Convert to fraction form
    39.71/54.87 = 30.55/x
  3. Step 3: Cross multiply
    39.71x = 54.87 × 30.55
  4. Step 4: Simplify right side
    39.71x = 1,676.28
  5. Step 5: Solve for x
    x = 1,676.28/39.71
  6. Step 6: Final answer
    x = 42.21

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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.