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Finding the Fourth Proportional to 132.20, 182.60 and 116.71

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Solution

The fourth proportional to 132.20, 182.60 and 116.71 is: 161.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.20 : 182.60 = 116.71 : x
  2. Step 2: Convert to fraction form
    132.20/182.60 = 116.71/x
  3. Step 3: Cross multiply
    132.20x = 182.60 × 116.71
  4. Step 4: Simplify right side
    132.20x = 21,310.21
  5. Step 5: Solve for x
    x = 21,310.21/132.20
  6. Step 6: Final answer
    x = 161.20

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Why These Related Problems?

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