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Finding the Fourth Proportional to 13.59, 20.30 and 11.31

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Solution

The fourth proportional to 13.59, 20.30 and 11.31 is: 16.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.59 : 20.30 = 11.31 : x
  2. Step 2: Convert to fraction form
    13.59/20.30 = 11.31/x
  3. Step 3: Cross multiply
    13.59x = 20.30 × 11.31
  4. Step 4: Simplify right side
    13.59x = 229.54
  5. Step 5: Solve for x
    x = 229.54/13.59
  6. Step 6: Final answer
    x = 16.89

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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.