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Finding the Fourth Proportional to 13.71, 20.43 and 13.41

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Solution

The fourth proportional to 13.71, 20.43 and 13.41 is: 19.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.71 : 20.43 = 13.41 : x
  2. Step 2: Convert to fraction form
    13.71/20.43 = 13.41/x
  3. Step 3: Cross multiply
    13.71x = 20.43 × 13.41
  4. Step 4: Simplify right side
    13.71x = 273.97
  5. Step 5: Solve for x
    x = 273.97/13.71
  6. Step 6: Final answer
    x = 19.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.