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Finding the Fourth Proportional to 132.76, 182.09 and 122.68

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Solution

The fourth proportional to 132.76, 182.09 and 122.68 is: 168.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.76 : 182.09 = 122.68 : x
  2. Step 2: Convert to fraction form
    132.76/182.09 = 122.68/x
  3. Step 3: Cross multiply
    132.76x = 182.09 × 122.68
  4. Step 4: Simplify right side
    132.76x = 22,338.80
  5. Step 5: Solve for x
    x = 22,338.80/132.76
  6. Step 6: Final answer
    x = 168.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.