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Finding the Fourth Proportional to 13.85, 20.78 and 7.44

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Solution

The fourth proportional to 13.85, 20.78 and 7.44 is: 11.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.85 : 20.78 = 7.44 : x
  2. Step 2: Convert to fraction form
    13.85/20.78 = 7.44/x
  3. Step 3: Cross multiply
    13.85x = 20.78 × 7.44
  4. Step 4: Simplify right side
    13.85x = 154.65
  5. Step 5: Solve for x
    x = 154.65/13.85
  6. Step 6: Final answer
    x = 11.17

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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.