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Finding the Fourth Proportional to 83.93, 115.98 and 69.35

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Solution

The fourth proportional to 83.93, 115.98 and 69.35 is: 95.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.93 : 115.98 = 69.35 : x
  2. Step 2: Convert to fraction form
    83.93/115.98 = 69.35/x
  3. Step 3: Cross multiply
    83.93x = 115.98 × 69.35
  4. Step 4: Simplify right side
    83.93x = 8,043.21
  5. Step 5: Solve for x
    x = 8,043.21/83.93
  6. Step 6: Final answer
    x = 95.83

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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.