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Finding the Fourth Proportional to 164.63, 227.21 and 106.31

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Solution

The fourth proportional to 164.63, 227.21 and 106.31 is: 146.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.63 : 227.21 = 106.31 : x
  2. Step 2: Convert to fraction form
    164.63/227.21 = 106.31/x
  3. Step 3: Cross multiply
    164.63x = 227.21 × 106.31
  4. Step 4: Simplify right side
    164.63x = 24,154.73
  5. Step 5: Solve for x
    x = 24,154.73/164.63
  6. Step 6: Final answer
    x = 146.72

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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.