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Finding the Fourth Proportional to 12.20, 16.82 and 9.77

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Solution

The fourth proportional to 12.20, 16.82 and 9.77 is: 13.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.20 : 16.82 = 9.77 : x
  2. Step 2: Convert to fraction form
    12.20/16.82 = 9.77/x
  3. Step 3: Cross multiply
    12.20x = 16.82 × 9.77
  4. Step 4: Simplify right side
    12.20x = 164.33
  5. Step 5: Solve for x
    x = 164.33/12.20
  6. Step 6: Final answer
    x = 13.47

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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.