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Finding the Fourth Proportional to 132.14, 182.31 and 76.85

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Solution

The fourth proportional to 132.14, 182.31 and 76.85 is: 106.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.14 : 182.31 = 76.85 : x
  2. Step 2: Convert to fraction form
    132.14/182.31 = 76.85/x
  3. Step 3: Cross multiply
    132.14x = 182.31 × 76.85
  4. Step 4: Simplify right side
    132.14x = 14,010.52
  5. Step 5: Solve for x
    x = 14,010.52/132.14
  6. Step 6: Final answer
    x = 106.03

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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.