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Finding the Fourth Proportional to 120.57, 166.46 and 83.71

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Solution

The fourth proportional to 120.57, 166.46 and 83.71 is: 115.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.57 : 166.46 = 83.71 : x
  2. Step 2: Convert to fraction form
    120.57/166.46 = 83.71/x
  3. Step 3: Cross multiply
    120.57x = 166.46 × 83.71
  4. Step 4: Simplify right side
    120.57x = 13,934.78
  5. Step 5: Solve for x
    x = 13,934.78/120.57
  6. Step 6: Final answer
    x = 115.58

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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.