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Finding the Fourth Proportional to 183.12, 252.69 and 109.44

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Solution

The fourth proportional to 183.12, 252.69 and 109.44 is: 151.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.12 : 252.69 = 109.44 : x
  2. Step 2: Convert to fraction form
    183.12/252.69 = 109.44/x
  3. Step 3: Cross multiply
    183.12x = 252.69 × 109.44
  4. Step 4: Simplify right side
    183.12x = 27,654.39
  5. Step 5: Solve for x
    x = 27,654.39/183.12
  6. Step 6: Final answer
    x = 151.02

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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.