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Finding the Fourth Proportional to 38.71, 53.12 and 38.41

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Solution

The fourth proportional to 38.71, 53.12 and 38.41 is: 52.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.71 : 53.12 = 38.41 : x
  2. Step 2: Convert to fraction form
    38.71/53.12 = 38.41/x
  3. Step 3: Cross multiply
    38.71x = 53.12 × 38.41
  4. Step 4: Simplify right side
    38.71x = 2,040.30
  5. Step 5: Solve for x
    x = 2,040.30/38.71
  6. Step 6: Final answer
    x = 52.71

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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.