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Finding the Fourth Proportional to 174.78, 241.14 and 97.14

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Solution

The fourth proportional to 174.78, 241.14 and 97.14 is: 134.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.78 : 241.14 = 97.14 : x
  2. Step 2: Convert to fraction form
    174.78/241.14 = 97.14/x
  3. Step 3: Cross multiply
    174.78x = 241.14 × 97.14
  4. Step 4: Simplify right side
    174.78x = 23,424.34
  5. Step 5: Solve for x
    x = 23,424.34/174.78
  6. Step 6: Final answer
    x = 134.02

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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.