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Finding the Fourth Proportional to 164.57, 227.09 and 106.38

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Solution

The fourth proportional to 164.57, 227.09 and 106.38 is: 146.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.57 : 227.09 = 106.38 : x
  2. Step 2: Convert to fraction form
    164.57/227.09 = 106.38/x
  3. Step 3: Cross multiply
    164.57x = 227.09 × 106.38
  4. Step 4: Simplify right side
    164.57x = 24,157.83
  5. Step 5: Solve for x
    x = 24,157.83/164.57
  6. Step 6: Final answer
    x = 146.79

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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.