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Finding the Fourth Proportional to 12.20, 16.84 and 9.90

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Solution

The fourth proportional to 12.20, 16.84 and 9.90 is: 13.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.20 : 16.84 = 9.90 : x
  2. Step 2: Convert to fraction form
    12.20/16.84 = 9.90/x
  3. Step 3: Cross multiply
    12.20x = 16.84 × 9.90
  4. Step 4: Simplify right side
    12.20x = 166.72
  5. Step 5: Solve for x
    x = 166.72/12.20
  6. Step 6: Final answer
    x = 13.67

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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.