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Finding the Fourth Proportional to 174.82, 241.24 and 97.19

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Solution

The fourth proportional to 174.82, 241.24 and 97.19 is: 134.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.82 : 241.24 = 97.19 : x
  2. Step 2: Convert to fraction form
    174.82/241.24 = 97.19/x
  3. Step 3: Cross multiply
    174.82x = 241.24 × 97.19
  4. Step 4: Simplify right side
    174.82x = 23,446.12
  5. Step 5: Solve for x
    x = 23,446.12/174.82
  6. Step 6: Final answer
    x = 134.12

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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.