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Finding the Fourth Proportional to 18.88, 28.31 and 8.19

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Solution

The fourth proportional to 18.88, 28.31 and 8.19 is: 12.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.88 : 28.31 = 8.19 : x
  2. Step 2: Convert to fraction form
    18.88/28.31 = 8.19/x
  3. Step 3: Cross multiply
    18.88x = 28.31 × 8.19
  4. Step 4: Simplify right side
    18.88x = 231.86
  5. Step 5: Solve for x
    x = 231.86/18.88
  6. Step 6: Final answer
    x = 12.28

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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.