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Finding the Fourth Proportional to 13.62, 20.38 and 10.23

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Solution

The fourth proportional to 13.62, 20.38 and 10.23 is: 15.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.62 : 20.38 = 10.23 : x
  2. Step 2: Convert to fraction form
    13.62/20.38 = 10.23/x
  3. Step 3: Cross multiply
    13.62x = 20.38 × 10.23
  4. Step 4: Simplify right side
    13.62x = 208.49
  5. Step 5: Solve for x
    x = 208.49/13.62
  6. Step 6: Final answer
    x = 15.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.