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Finding the Fourth Proportional to 12.20, 17.86 and 12.20

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Solution

The fourth proportional to 12.20, 17.86 and 12.20 is: 17.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.20 : 17.86 = 12.20 : x
  2. Step 2: Convert to fraction form
    12.20/17.86 = 12.20/x
  3. Step 3: Cross multiply
    12.20x = 17.86 × 12.20
  4. Step 4: Simplify right side
    12.20x = 217.89
  5. Step 5: Solve for x
    x = 217.89/12.20
  6. Step 6: Final answer
    x = 17.86

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.