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Finding the Fourth Proportional to 8, 12 and 6.68

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Solution

The fourth proportional to 8, 12 and 6.68 is: 10.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8 : 12 = 6.68 : x
  2. Step 2: Convert to fraction form
    8/12 = 6.68/x
  3. Step 3: Cross multiply
    8x = 12 × 6.68
  4. Step 4: Simplify right side
    8x = 80.16
  5. Step 5: Solve for x
    x = 80.16/8
  6. Step 6: Final answer
    x = 10.02

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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.