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Finding the Fourth Proportional to 84.08, 115.86 and 83.76

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Solution

The fourth proportional to 84.08, 115.86 and 83.76 is: 115.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.08 : 115.86 = 83.76 : x
  2. Step 2: Convert to fraction form
    84.08/115.86 = 83.76/x
  3. Step 3: Cross multiply
    84.08x = 115.86 × 83.76
  4. Step 4: Simplify right side
    84.08x = 9,704.43
  5. Step 5: Solve for x
    x = 9,704.43/84.08
  6. Step 6: Final answer
    x = 115.42

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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.