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Finding the Fourth Proportional to 83.96, 115.78 and 59.05

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Solution

The fourth proportional to 83.96, 115.78 and 59.05 is: 81.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.96 : 115.78 = 59.05 : x
  2. Step 2: Convert to fraction form
    83.96/115.78 = 59.05/x
  3. Step 3: Cross multiply
    83.96x = 115.78 × 59.05
  4. Step 4: Simplify right side
    83.96x = 6,835.93
  5. Step 5: Solve for x
    x = 6,835.93/83.96
  6. Step 6: Final answer
    x = 81.42

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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.