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Finding the Fourth Proportional to 120.80, 180.40 and 119.54

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Solution

The fourth proportional to 120.80, 180.40 and 119.54 is: 178.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.80 : 180.40 = 119.54 : x
  2. Step 2: Convert to fraction form
    120.80/180.40 = 119.54/x
  3. Step 3: Cross multiply
    120.80x = 180.40 × 119.54
  4. Step 4: Simplify right side
    120.80x = 21,564.42
  5. Step 5: Solve for x
    x = 21,564.42/120.80
  6. Step 6: Final answer
    x = 178.51

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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.