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Finding the Fourth Proportional to 18.86, 28.28 and 6.83

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Solution

The fourth proportional to 18.86, 28.28 and 6.83 is: 10.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.86 : 28.28 = 6.83 : x
  2. Step 2: Convert to fraction form
    18.86/28.28 = 6.83/x
  3. Step 3: Cross multiply
    18.86x = 28.28 × 6.83
  4. Step 4: Simplify right side
    18.86x = 193.12
  5. Step 5: Solve for x
    x = 193.12/18.86
  6. Step 6: Final answer
    x = 10.24

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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.