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Finding the Fourth Proportional to 12.01, 18.00 and 6.86

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Solution

The fourth proportional to 12.01, 18.00 and 6.86 is: 10.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.01 : 18.00 = 6.86 : x
  2. Step 2: Convert to fraction form
    12.01/18.00 = 6.86/x
  3. Step 3: Cross multiply
    12.01x = 18.00 × 6.86
  4. Step 4: Simplify right side
    12.01x = 123.53
  5. Step 5: Solve for x
    x = 123.53/12.01
  6. Step 6: Final answer
    x = 10.29

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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.