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Finding the Fourth Proportional to 120.91, 166.83 and 82.09

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Solution

The fourth proportional to 120.91, 166.83 and 82.09 is: 113.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.91 : 166.83 = 82.09 : x
  2. Step 2: Convert to fraction form
    120.91/166.83 = 82.09/x
  3. Step 3: Cross multiply
    120.91x = 166.83 × 82.09
  4. Step 4: Simplify right side
    120.91x = 13,695.07
  5. Step 5: Solve for x
    x = 13,695.07/120.91
  6. Step 6: Final answer
    x = 113.27

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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.