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Finding the Fourth Proportional to 120.65, 179.89 and 119.44

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Solution

The fourth proportional to 120.65, 179.89 and 119.44 is: 178.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.65 : 179.89 = 119.44 : x
  2. Step 2: Convert to fraction form
    120.65/179.89 = 119.44/x
  3. Step 3: Cross multiply
    120.65x = 179.89 × 119.44
  4. Step 4: Simplify right side
    120.65x = 21,485.16
  5. Step 5: Solve for x
    x = 21,485.16/120.65
  6. Step 6: Final answer
    x = 178.08

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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.