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Finding the Fourth Proportional to 163.82, 226.04 and 105.68

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Solution

The fourth proportional to 163.82, 226.04 and 105.68 is: 145.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.82 : 226.04 = 105.68 : x
  2. Step 2: Convert to fraction form
    163.82/226.04 = 105.68/x
  3. Step 3: Cross multiply
    163.82x = 226.04 × 105.68
  4. Step 4: Simplify right side
    163.82x = 23,887.91
  5. Step 5: Solve for x
    x = 23,887.91/163.82
  6. Step 6: Final answer
    x = 145.82

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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.