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Finding the Fourth Proportional to 119.21, 179.82 and 111.92

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Solution

The fourth proportional to 119.21, 179.82 and 111.92 is: 168.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.21 : 179.82 = 111.92 : x
  2. Step 2: Convert to fraction form
    119.21/179.82 = 111.92/x
  3. Step 3: Cross multiply
    119.21x = 179.82 × 111.92
  4. Step 4: Simplify right side
    119.21x = 20,124.56
  5. Step 5: Solve for x
    x = 20,124.56/119.21
  6. Step 6: Final answer
    x = 168.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.