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Finding the Fourth Proportional to 13.68, 20.42 and 12.32

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Solution

The fourth proportional to 13.68, 20.42 and 12.32 is: 18.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.68 : 20.42 = 12.32 : x
  2. Step 2: Convert to fraction form
    13.68/20.42 = 12.32/x
  3. Step 3: Cross multiply
    13.68x = 20.42 × 12.32
  4. Step 4: Simplify right side
    13.68x = 251.57
  5. Step 5: Solve for x
    x = 251.57/13.68
  6. Step 6: Final answer
    x = 18.39

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Why These Related Problems?

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