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Finding the Fourth Proportional to 12.32, 17.02 and 9.90

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Solution

The fourth proportional to 12.32, 17.02 and 9.90 is: 13.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.32 : 17.02 = 9.90 : x
  2. Step 2: Convert to fraction form
    12.32/17.02 = 9.90/x
  3. Step 3: Cross multiply
    12.32x = 17.02 × 9.90
  4. Step 4: Simplify right side
    12.32x = 168.50
  5. Step 5: Solve for x
    x = 168.50/12.32
  6. Step 6: Final answer
    x = 13.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.