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Finding the Fourth Proportional to 164.15, 226.41 and 105.90

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Solution

The fourth proportional to 164.15, 226.41 and 105.90 is: 146.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.15 : 226.41 = 105.90 : x
  2. Step 2: Convert to fraction form
    164.15/226.41 = 105.90/x
  3. Step 3: Cross multiply
    164.15x = 226.41 × 105.90
  4. Step 4: Simplify right side
    164.15x = 23,976.82
  5. Step 5: Solve for x
    x = 23,976.82/164.15
  6. Step 6: Final answer
    x = 146.07

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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.