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Finding the Fourth Proportional to 122.09, 183.47 and 100.22

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Solution

The fourth proportional to 122.09, 183.47 and 100.22 is: 150.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.09 : 183.47 = 100.22 : x
  2. Step 2: Convert to fraction form
    122.09/183.47 = 100.22/x
  3. Step 3: Cross multiply
    122.09x = 183.47 × 100.22
  4. Step 4: Simplify right side
    122.09x = 18,387.31
  5. Step 5: Solve for x
    x = 18,387.31/122.09
  6. Step 6: Final answer
    x = 150.61

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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.