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Finding the Fourth Proportional to 84.18, 115.49 and 82.14

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Solution

The fourth proportional to 84.18, 115.49 and 82.14 is: 112.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.18 : 115.49 = 82.14 : x
  2. Step 2: Convert to fraction form
    84.18/115.49 = 82.14/x
  3. Step 3: Cross multiply
    84.18x = 115.49 × 82.14
  4. Step 4: Simplify right side
    84.18x = 9,485.94
  5. Step 5: Solve for x
    x = 9,485.94/84.18
  6. Step 6: Final answer
    x = 112.69

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.