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Finding the Fourth Proportional to 132.54, 182.94 and 86.04

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Solution

The fourth proportional to 132.54, 182.94 and 86.04 is: 118.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.54 : 182.94 = 86.04 : x
  2. Step 2: Convert to fraction form
    132.54/182.94 = 86.04/x
  3. Step 3: Cross multiply
    132.54x = 182.94 × 86.04
  4. Step 4: Simplify right side
    132.54x = 15,739.80
  5. Step 5: Solve for x
    x = 15,739.80/132.54
  6. Step 6: Final answer
    x = 118.76

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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.