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Finding the Fourth Proportional to 120.67, 166.56 and 83.83

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Solution

The fourth proportional to 120.67, 166.56 and 83.83 is: 115.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.67 : 166.56 = 83.83 : x
  2. Step 2: Convert to fraction form
    120.67/166.56 = 83.83/x
  3. Step 3: Cross multiply
    120.67x = 166.56 × 83.83
  4. Step 4: Simplify right side
    120.67x = 13,962.72
  5. Step 5: Solve for x
    x = 13,962.72/120.67
  6. Step 6: Final answer
    x = 115.71

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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.