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Finding the Fourth Proportional to 84.26, 115.98 and 77.78

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Solution

The fourth proportional to 84.26, 115.98 and 77.78 is: 107.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.26 : 115.98 = 77.78 : x
  2. Step 2: Convert to fraction form
    84.26/115.98 = 77.78/x
  3. Step 3: Cross multiply
    84.26x = 115.98 × 77.78
  4. Step 4: Simplify right side
    84.26x = 9,020.92
  5. Step 5: Solve for x
    x = 9,020.92/84.26
  6. Step 6: Final answer
    x = 107.06

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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.