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Finding the Fourth Proportional to 164.88, 227.52 and 102.73

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Solution

The fourth proportional to 164.88, 227.52 and 102.73 is: 141.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.88 : 227.52 = 102.73 : x
  2. Step 2: Convert to fraction form
    164.88/227.52 = 102.73/x
  3. Step 3: Cross multiply
    164.88x = 227.52 × 102.73
  4. Step 4: Simplify right side
    164.88x = 23,372.56
  5. Step 5: Solve for x
    x = 23,372.56/164.88
  6. Step 6: Final answer
    x = 141.75

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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.