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Finding the Fourth Proportional to 14.69, 20.26 and 8.54

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Solution

The fourth proportional to 14.69, 20.26 and 8.54 is: 11.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.69 : 20.26 = 8.54 : x
  2. Step 2: Convert to fraction form
    14.69/20.26 = 8.54/x
  3. Step 3: Cross multiply
    14.69x = 20.26 × 8.54
  4. Step 4: Simplify right side
    14.69x = 173.05
  5. Step 5: Solve for x
    x = 173.05/14.69
  6. Step 6: Final answer
    x = 11.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.