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Finding the Fourth Proportional to 13.67, 20.50 and 9.19

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Solution

The fourth proportional to 13.67, 20.50 and 9.19 is: 13.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.67 : 20.50 = 9.19 : x
  2. Step 2: Convert to fraction form
    13.67/20.50 = 9.19/x
  3. Step 3: Cross multiply
    13.67x = 20.50 × 9.19
  4. Step 4: Simplify right side
    13.67x = 188.29
  5. Step 5: Solve for x
    x = 188.29/13.67
  6. Step 6: Final answer
    x = 13.78

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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.