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Finding the Fourth Proportional to 164.53, 227.05 and 106.31

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Solution

The fourth proportional to 164.53, 227.05 and 106.31 is: 146.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.53 : 227.05 = 106.31 : x
  2. Step 2: Convert to fraction form
    164.53/227.05 = 106.31/x
  3. Step 3: Cross multiply
    164.53x = 227.05 × 106.31
  4. Step 4: Simplify right side
    164.53x = 24,138.59
  5. Step 5: Solve for x
    x = 24,138.59/164.53
  6. Step 6: Final answer
    x = 146.71

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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.