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Finding the Fourth Proportional to 120.27, 179.41 and 105.69

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Solution

The fourth proportional to 120.27, 179.41 and 105.69 is: 157.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.27 : 179.41 = 105.69 : x
  2. Step 2: Convert to fraction form
    120.27/179.41 = 105.69/x
  3. Step 3: Cross multiply
    120.27x = 179.41 × 105.69
  4. Step 4: Simplify right side
    120.27x = 18,961.58
  5. Step 5: Solve for x
    x = 18,961.58/120.27
  6. Step 6: Final answer
    x = 157.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.