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Finding the Fourth Proportional to 163.77, 226.17 and 105.72

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Solution

The fourth proportional to 163.77, 226.17 and 105.72 is: 146.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.77 : 226.17 = 105.72 : x
  2. Step 2: Convert to fraction form
    163.77/226.17 = 105.72/x
  3. Step 3: Cross multiply
    163.77x = 226.17 × 105.72
  4. Step 4: Simplify right side
    163.77x = 23,910.69
  5. Step 5: Solve for x
    x = 23,910.69/163.77
  6. Step 6: Final answer
    x = 146.00

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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.