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Finding the Fourth Proportional to 14.67, 20.10 and 13.44

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Solution

The fourth proportional to 14.67, 20.10 and 13.44 is: 18.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.67 : 20.10 = 13.44 : x
  2. Step 2: Convert to fraction form
    14.67/20.10 = 13.44/x
  3. Step 3: Cross multiply
    14.67x = 20.10 × 13.44
  4. Step 4: Simplify right side
    14.67x = 270.14
  5. Step 5: Solve for x
    x = 270.14/14.67
  6. Step 6: Final answer
    x = 18.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.