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Finding the Fourth Proportional to 122.14, 182.89 and 67.96

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Solution

The fourth proportional to 122.14, 182.89 and 67.96 is: 101.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.14 : 182.89 = 67.96 : x
  2. Step 2: Convert to fraction form
    122.14/182.89 = 67.96/x
  3. Step 3: Cross multiply
    122.14x = 182.89 × 67.96
  4. Step 4: Simplify right side
    122.14x = 12,429.20
  5. Step 5: Solve for x
    x = 12,429.20/122.14
  6. Step 6: Final answer
    x = 101.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.