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Finding the Fourth Proportional to 12.05, 18.06 and 6.68

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Solution

The fourth proportional to 12.05, 18.06 and 6.68 is: 10.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.05 : 18.06 = 6.68 : x
  2. Step 2: Convert to fraction form
    12.05/18.06 = 6.68/x
  3. Step 3: Cross multiply
    12.05x = 18.06 × 6.68
  4. Step 4: Simplify right side
    12.05x = 120.64
  5. Step 5: Solve for x
    x = 120.64/12.05
  6. Step 6: Final answer
    x = 10.01

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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.