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Finding the Fourth Proportional to 163.52, 225.77 and 101.44

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Solution

The fourth proportional to 163.52, 225.77 and 101.44 is: 140.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.52 : 225.77 = 101.44 : x
  2. Step 2: Convert to fraction form
    163.52/225.77 = 101.44/x
  3. Step 3: Cross multiply
    163.52x = 225.77 × 101.44
  4. Step 4: Simplify right side
    163.52x = 22,902.80
  5. Step 5: Solve for x
    x = 22,902.80/163.52
  6. Step 6: Final answer
    x = 140.06

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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.