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Finding the Fourth Proportional to 183.06, 252.61 and 105.43

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Solution

The fourth proportional to 183.06, 252.61 and 105.43 is: 145.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.06 : 252.61 = 105.43 : x
  2. Step 2: Convert to fraction form
    183.06/252.61 = 105.43/x
  3. Step 3: Cross multiply
    183.06x = 252.61 × 105.43
  4. Step 4: Simplify right side
    183.06x = 26,632.67
  5. Step 5: Solve for x
    x = 26,632.67/183.06
  6. Step 6: Final answer
    x = 145.49

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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.