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Finding the Fourth Proportional to 12.32, 18.46 and 6.61

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Solution

The fourth proportional to 12.32, 18.46 and 6.61 is: 9.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.32 : 18.46 = 6.61 : x
  2. Step 2: Convert to fraction form
    12.32/18.46 = 6.61/x
  3. Step 3: Cross multiply
    12.32x = 18.46 × 6.61
  4. Step 4: Simplify right side
    12.32x = 122.02
  5. Step 5: Solve for x
    x = 122.02/12.32
  6. Step 6: Final answer
    x = 9.90

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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.