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Finding the Fourth Proportional to 120.92, 181.46 and 69.66

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Solution

The fourth proportional to 120.92, 181.46 and 69.66 is: 104.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.92 : 181.46 = 69.66 : x
  2. Step 2: Convert to fraction form
    120.92/181.46 = 69.66/x
  3. Step 3: Cross multiply
    120.92x = 181.46 × 69.66
  4. Step 4: Simplify right side
    120.92x = 12,640.68
  5. Step 5: Solve for x
    x = 12,640.68/120.92
  6. Step 6: Final answer
    x = 104.54

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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.