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Finding the Fourth Proportional to 163.56, 225.75 and 105.38

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Solution

The fourth proportional to 163.56, 225.75 and 105.38 is: 145.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.56 : 225.75 = 105.38 : x
  2. Step 2: Convert to fraction form
    163.56/225.75 = 105.38/x
  3. Step 3: Cross multiply
    163.56x = 225.75 × 105.38
  4. Step 4: Simplify right side
    163.56x = 23,789.54
  5. Step 5: Solve for x
    x = 23,789.54/163.56
  6. Step 6: Final answer
    x = 145.45

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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.