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Finding the Fourth Proportional to 12.82, 19.18 and 12.06

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Solution

The fourth proportional to 12.82, 19.18 and 12.06 is: 18.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.82 : 19.18 = 12.06 : x
  2. Step 2: Convert to fraction form
    12.82/19.18 = 12.06/x
  3. Step 3: Cross multiply
    12.82x = 19.18 × 12.06
  4. Step 4: Simplify right side
    12.82x = 231.31
  5. Step 5: Solve for x
    x = 231.31/12.82
  6. Step 6: Final answer
    x = 18.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.