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Finding the Fourth Proportional to 83.26, 114.14 and 82.32

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Solution

The fourth proportional to 83.26, 114.14 and 82.32 is: 112.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.26 : 114.14 = 82.32 : x
  2. Step 2: Convert to fraction form
    83.26/114.14 = 82.32/x
  3. Step 3: Cross multiply
    83.26x = 114.14 × 82.32
  4. Step 4: Simplify right side
    83.26x = 9,396.00
  5. Step 5: Solve for x
    x = 9,396.00/83.26
  6. Step 6: Final answer
    x = 112.85

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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.