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Finding the Fourth Proportional to 164.54, 227.10 and 109.28

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Solution

The fourth proportional to 164.54, 227.10 and 109.28 is: 150.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.54 : 227.10 = 109.28 : x
  2. Step 2: Convert to fraction form
    164.54/227.10 = 109.28/x
  3. Step 3: Cross multiply
    164.54x = 227.10 × 109.28
  4. Step 4: Simplify right side
    164.54x = 24,816.92
  5. Step 5: Solve for x
    x = 24,816.92/164.54
  6. Step 6: Final answer
    x = 150.83

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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.