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Finding the Fourth Proportional to 164.33, 226.71 and 122.91

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Solution

The fourth proportional to 164.33, 226.71 and 122.91 is: 169.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.33 : 226.71 = 122.91 : x
  2. Step 2: Convert to fraction form
    164.33/226.71 = 122.91/x
  3. Step 3: Cross multiply
    164.33x = 226.71 × 122.91
  4. Step 4: Simplify right side
    164.33x = 27,864.93
  5. Step 5: Solve for x
    x = 27,864.93/164.33
  6. Step 6: Final answer
    x = 169.57

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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.