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Finding the Fourth Proportional to 164.08, 226.32 and 105.04

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Solution

The fourth proportional to 164.08, 226.32 and 105.04 is: 144.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.08 : 226.32 = 105.04 : x
  2. Step 2: Convert to fraction form
    164.08/226.32 = 105.04/x
  3. Step 3: Cross multiply
    164.08x = 226.32 × 105.04
  4. Step 4: Simplify right side
    164.08x = 23,772.65
  5. Step 5: Solve for x
    x = 23,772.65/164.08
  6. Step 6: Final answer
    x = 144.88

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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.