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Finding the Fourth Proportional to 132.31, 182.56 and 82.54

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Solution

The fourth proportional to 132.31, 182.56 and 82.54 is: 113.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.31 : 182.56 = 82.54 : x
  2. Step 2: Convert to fraction form
    132.31/182.56 = 82.54/x
  3. Step 3: Cross multiply
    132.31x = 182.56 × 82.54
  4. Step 4: Simplify right side
    132.31x = 15,068.50
  5. Step 5: Solve for x
    x = 15,068.50/132.31
  6. Step 6: Final answer
    x = 113.89

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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.