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Finding the Fourth Proportional to 149.20, 205.77 and 97.42

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Solution

The fourth proportional to 149.20, 205.77 and 97.42 is: 134.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.20 : 205.77 = 97.42 : x
  2. Step 2: Convert to fraction form
    149.20/205.77 = 97.42/x
  3. Step 3: Cross multiply
    149.20x = 205.77 × 97.42
  4. Step 4: Simplify right side
    149.20x = 20,046.11
  5. Step 5: Solve for x
    x = 20,046.11/149.20
  6. Step 6: Final answer
    x = 134.36

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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.