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Finding the Fourth Proportional to 120.55, 166.19 and 83.65

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Solution

The fourth proportional to 120.55, 166.19 and 83.65 is: 115.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.55 : 166.19 = 83.65 : x
  2. Step 2: Convert to fraction form
    120.55/166.19 = 83.65/x
  3. Step 3: Cross multiply
    120.55x = 166.19 × 83.65
  4. Step 4: Simplify right side
    120.55x = 13,901.79
  5. Step 5: Solve for x
    x = 13,901.79/120.55
  6. Step 6: Final answer
    x = 115.32

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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.