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Finding the Fourth Proportional to 183.09, 252.67 and 104.42

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Solution

The fourth proportional to 183.09, 252.67 and 104.42 is: 144.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.09 : 252.67 = 104.42 : x
  2. Step 2: Convert to fraction form
    183.09/252.67 = 104.42/x
  3. Step 3: Cross multiply
    183.09x = 252.67 × 104.42
  4. Step 4: Simplify right side
    183.09x = 26,382.28
  5. Step 5: Solve for x
    x = 26,382.28/183.09
  6. Step 6: Final answer
    x = 144.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.