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Finding the Fourth Proportional to 163.03, 225.13 and 107.75

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Solution

The fourth proportional to 163.03, 225.13 and 107.75 is: 148.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.03 : 225.13 = 107.75 : x
  2. Step 2: Convert to fraction form
    163.03/225.13 = 107.75/x
  3. Step 3: Cross multiply
    163.03x = 225.13 × 107.75
  4. Step 4: Simplify right side
    163.03x = 24,257.76
  5. Step 5: Solve for x
    x = 24,257.76/163.03
  6. Step 6: Final answer
    x = 148.79

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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.