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Finding the Fourth Proportional to 84.15, 115.88 and 82.43

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Solution

The fourth proportional to 84.15, 115.88 and 82.43 is: 113.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.15 : 115.88 = 82.43 : x
  2. Step 2: Convert to fraction form
    84.15/115.88 = 82.43/x
  3. Step 3: Cross multiply
    84.15x = 115.88 × 82.43
  4. Step 4: Simplify right side
    84.15x = 9,551.58
  5. Step 5: Solve for x
    x = 9,551.58/84.15
  6. Step 6: Final answer
    x = 113.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.