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Finding the Fourth Proportional to 163.91, 226.19 and 90.23

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Solution

The fourth proportional to 163.91, 226.19 and 90.23 is: 124.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.91 : 226.19 = 90.23 : x
  2. Step 2: Convert to fraction form
    163.91/226.19 = 90.23/x
  3. Step 3: Cross multiply
    163.91x = 226.19 × 90.23
  4. Step 4: Simplify right side
    163.91x = 20,408.22
  5. Step 5: Solve for x
    x = 20,408.22/163.91
  6. Step 6: Final answer
    x = 124.51

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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.