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Finding the Fourth Proportional to 20.49, 28.27 and 12.71

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Solution

The fourth proportional to 20.49, 28.27 and 12.71 is: 17.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.49 : 28.27 = 12.71 : x
  2. Step 2: Convert to fraction form
    20.49/28.27 = 12.71/x
  3. Step 3: Cross multiply
    20.49x = 28.27 × 12.71
  4. Step 4: Simplify right side
    20.49x = 359.25
  5. Step 5: Solve for x
    x = 359.25/20.49
  6. Step 6: Final answer
    x = 17.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.