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Finding the Fourth Proportional to 174.92, 241.32 and 100.22

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Solution

The fourth proportional to 174.92, 241.32 and 100.22 is: 138.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.92 : 241.32 = 100.22 : x
  2. Step 2: Convert to fraction form
    174.92/241.32 = 100.22/x
  3. Step 3: Cross multiply
    174.92x = 241.32 × 100.22
  4. Step 4: Simplify right side
    174.92x = 24,183.88
  5. Step 5: Solve for x
    x = 24,183.88/174.92
  6. Step 6: Final answer
    x = 138.26

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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.