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Finding the Fourth Proportional to 132.56, 182.52 and 112.85

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Solution

The fourth proportional to 132.56, 182.52 and 112.85 is: 155.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.56 : 182.52 = 112.85 : x
  2. Step 2: Convert to fraction form
    132.56/182.52 = 112.85/x
  3. Step 3: Cross multiply
    132.56x = 182.52 × 112.85
  4. Step 4: Simplify right side
    132.56x = 20,597.38
  5. Step 5: Solve for x
    x = 20,597.38/132.56
  6. Step 6: Final answer
    x = 155.38

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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.