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Finding the Fourth Proportional to 132.44, 182.60 and 120.92

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Solution

The fourth proportional to 132.44, 182.60 and 120.92 is: 166.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.44 : 182.60 = 120.92 : x
  2. Step 2: Convert to fraction form
    132.44/182.60 = 120.92/x
  3. Step 3: Cross multiply
    132.44x = 182.60 × 120.92
  4. Step 4: Simplify right side
    132.44x = 22,079.99
  5. Step 5: Solve for x
    x = 22,079.99/132.44
  6. Step 6: Final answer
    x = 166.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.