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Finding the Fourth Proportional to 122, 183 and 67.82

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Solution

The fourth proportional to 122, 183 and 67.82 is: 101.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    122 : 183 = 67.82 : x
  2. Step 2: Convert to fraction form
    122/183 = 67.82/x
  3. Step 3: Cross multiply
    122x = 183 × 67.82
  4. Step 4: Simplify right side
    122x = 12,411.06
  5. Step 5: Solve for x
    x = 12,411.06/122
  6. Step 6: Final answer
    x = 101.73

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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.