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Finding the Fourth Proportional to 84.25, 116.11 and 77.73

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Solution

The fourth proportional to 84.25, 116.11 and 77.73 is: 107.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.25 : 116.11 = 77.73 : x
  2. Step 2: Convert to fraction form
    84.25/116.11 = 77.73/x
  3. Step 3: Cross multiply
    84.25x = 116.11 × 77.73
  4. Step 4: Simplify right side
    84.25x = 9,025.23
  5. Step 5: Solve for x
    x = 9,025.23/84.25
  6. Step 6: Final answer
    x = 107.12

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Why These Related Problems?

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