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Finding the Fourth Proportional to 164.76, 227.43 and 106.56

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Solution

The fourth proportional to 164.76, 227.43 and 106.56 is: 147.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.76 : 227.43 = 106.56 : x
  2. Step 2: Convert to fraction form
    164.76/227.43 = 106.56/x
  3. Step 3: Cross multiply
    164.76x = 227.43 × 106.56
  4. Step 4: Simplify right side
    164.76x = 24,234.94
  5. Step 5: Solve for x
    x = 24,234.94/164.76
  6. Step 6: Final answer
    x = 147.09

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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.