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Finding the Fourth Proportional to 164.50, 227.03 and 106.33

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Solution

The fourth proportional to 164.50, 227.03 and 106.33 is: 146.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.50 : 227.03 = 106.33 : x
  2. Step 2: Convert to fraction form
    164.50/227.03 = 106.33/x
  3. Step 3: Cross multiply
    164.50x = 227.03 × 106.33
  4. Step 4: Simplify right side
    164.50x = 24,140.10
  5. Step 5: Solve for x
    x = 24,140.10/164.50
  6. Step 6: Final answer
    x = 146.75

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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.