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Finding the Fourth Proportional to 39.71, 54.47 and 38.39

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Solution

The fourth proportional to 39.71, 54.47 and 38.39 is: 52.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.71 : 54.47 = 38.39 : x
  2. Step 2: Convert to fraction form
    39.71/54.47 = 38.39/x
  3. Step 3: Cross multiply
    39.71x = 54.47 × 38.39
  4. Step 4: Simplify right side
    39.71x = 2,090.64
  5. Step 5: Solve for x
    x = 2,090.64/39.71
  6. Step 6: Final answer
    x = 52.65

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.