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Finding the Fourth Proportional to 183.25, 252.90 and 105.64

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Solution

The fourth proportional to 183.25, 252.90 and 105.64 is: 145.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.25 : 252.90 = 105.64 : x
  2. Step 2: Convert to fraction form
    183.25/252.90 = 105.64/x
  3. Step 3: Cross multiply
    183.25x = 252.90 × 105.64
  4. Step 4: Simplify right side
    183.25x = 26,716.36
  5. Step 5: Solve for x
    x = 26,716.36/183.25
  6. Step 6: Final answer
    x = 145.79

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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.