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Finding the Fourth Proportional to 122.11, 183.04 and 67.27

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Solution

The fourth proportional to 122.11, 183.04 and 67.27 is: 100.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.11 : 183.04 = 67.27 : x
  2. Step 2: Convert to fraction form
    122.11/183.04 = 67.27/x
  3. Step 3: Cross multiply
    122.11x = 183.04 × 67.27
  4. Step 4: Simplify right side
    122.11x = 12,313.10
  5. Step 5: Solve for x
    x = 12,313.10/122.11
  6. Step 6: Final answer
    x = 100.84

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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.