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Finding the Fourth Proportional to 13.50, 20.25 and 6.38

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Solution

The fourth proportional to 13.50, 20.25 and 6.38 is: 9.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.50 : 20.25 = 6.38 : x
  2. Step 2: Convert to fraction form
    13.50/20.25 = 6.38/x
  3. Step 3: Cross multiply
    13.50x = 20.25 × 6.38
  4. Step 4: Simplify right side
    13.50x = 129.11
  5. Step 5: Solve for x
    x = 129.11/13.50
  6. Step 6: Final answer
    x = 9.56

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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.