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Finding the Fourth Proportional to 8.82, 13.14 and 8.42

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Solution

The fourth proportional to 8.82, 13.14 and 8.42 is: 12.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.82 : 13.14 = 8.42 : x
  2. Step 2: Convert to fraction form
    8.82/13.14 = 8.42/x
  3. Step 3: Cross multiply
    8.82x = 13.14 × 8.42
  4. Step 4: Simplify right side
    8.82x = 110.57
  5. Step 5: Solve for x
    x = 110.57/8.82
  6. Step 6: Final answer
    x = 12.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.