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Finding the Fourth Proportional to 122, 182.68 and 81.39

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Solution

The fourth proportional to 122, 182.68 and 81.39 is: 121.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    122 : 182.68 = 81.39 : x
  2. Step 2: Convert to fraction form
    122/182.68 = 81.39/x
  3. Step 3: Cross multiply
    122x = 182.68 × 81.39
  4. Step 4: Simplify right side
    122x = 14,868.33
  5. Step 5: Solve for x
    x = 14,868.33/122
  6. Step 6: Final answer
    x = 121.87

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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.