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Finding the Fourth Proportional to 83.82, 115.80 and 68.37

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Solution

The fourth proportional to 83.82, 115.80 and 68.37 is: 94.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.82 : 115.80 = 68.37 : x
  2. Step 2: Convert to fraction form
    83.82/115.80 = 68.37/x
  3. Step 3: Cross multiply
    83.82x = 115.80 × 68.37
  4. Step 4: Simplify right side
    83.82x = 7,917.25
  5. Step 5: Solve for x
    x = 7,917.25/83.82
  6. Step 6: Final answer
    x = 94.46

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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.