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Finding the Fourth Proportional to 132.57, 182.82 and 116.16

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Solution

The fourth proportional to 132.57, 182.82 and 116.16 is: 160.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.57 : 182.82 = 116.16 : x
  2. Step 2: Convert to fraction form
    132.57/182.82 = 116.16/x
  3. Step 3: Cross multiply
    132.57x = 182.82 × 116.16
  4. Step 4: Simplify right side
    132.57x = 21,236.37
  5. Step 5: Solve for x
    x = 21,236.37/132.57
  6. Step 6: Final answer
    x = 160.19

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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.