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Finding the Fourth Proportional to 174.94, 241.40 and 97.32

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Solution

The fourth proportional to 174.94, 241.40 and 97.32 is: 134.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.94 : 241.40 = 97.32 : x
  2. Step 2: Convert to fraction form
    174.94/241.40 = 97.32/x
  3. Step 3: Cross multiply
    174.94x = 241.40 × 97.32
  4. Step 4: Simplify right side
    174.94x = 23,493.05
  5. Step 5: Solve for x
    x = 23,493.05/174.94
  6. Step 6: Final answer
    x = 134.29

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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.