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Finding the Fourth Proportional to 120.85, 180.97 and 66.69

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Solution

The fourth proportional to 120.85, 180.97 and 66.69 is: 99.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.85 : 180.97 = 66.69 : x
  2. Step 2: Convert to fraction form
    120.85/180.97 = 66.69/x
  3. Step 3: Cross multiply
    120.85x = 180.97 × 66.69
  4. Step 4: Simplify right side
    120.85x = 12,067.82
  5. Step 5: Solve for x
    x = 12,067.82/120.85
  6. Step 6: Final answer
    x = 99.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.