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Finding the Fourth Proportional to 164.09, 226.17 and 105.77

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Solution

The fourth proportional to 164.09, 226.17 and 105.77 is: 145.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.09 : 226.17 = 105.77 : x
  2. Step 2: Convert to fraction form
    164.09/226.17 = 105.77/x
  3. Step 3: Cross multiply
    164.09x = 226.17 × 105.77
  4. Step 4: Simplify right side
    164.09x = 23,920.87
  5. Step 5: Solve for x
    x = 23,920.87/164.09
  6. Step 6: Final answer
    x = 145.78

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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.