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Finding the Fourth Proportional to 132.14, 196.84 and 120.80

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Solution

The fourth proportional to 132.14, 196.84 and 120.80 is: 179.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.14 : 196.84 = 120.80 : x
  2. Step 2: Convert to fraction form
    132.14/196.84 = 120.80/x
  3. Step 3: Cross multiply
    132.14x = 196.84 × 120.80
  4. Step 4: Simplify right side
    132.14x = 23,778.27
  5. Step 5: Solve for x
    x = 23,778.27/132.14
  6. Step 6: Final answer
    x = 179.95

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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.