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Finding the Fourth Proportional to 132.98, 198.92 and 120.84

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Solution

The fourth proportional to 132.98, 198.92 and 120.84 is: 180.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.98 : 198.92 = 120.84 : x
  2. Step 2: Convert to fraction form
    132.98/198.92 = 120.84/x
  3. Step 3: Cross multiply
    132.98x = 198.92 × 120.84
  4. Step 4: Simplify right side
    132.98x = 24,037.49
  5. Step 5: Solve for x
    x = 24,037.49/132.98
  6. Step 6: Final answer
    x = 180.76

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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.