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Finding the Fourth Proportional to 119.32, 178.79 and 80.65

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Solution

The fourth proportional to 119.32, 178.79 and 80.65 is: 120.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.32 : 178.79 = 80.65 : x
  2. Step 2: Convert to fraction form
    119.32/178.79 = 80.65/x
  3. Step 3: Cross multiply
    119.32x = 178.79 × 80.65
  4. Step 4: Simplify right side
    119.32x = 14,419.01
  5. Step 5: Solve for x
    x = 14,419.01/119.32
  6. Step 6: Final answer
    x = 120.85

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