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Finding the Fourth Proportional to 174.20, 240.38 and 96.56

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Solution

The fourth proportional to 174.20, 240.38 and 96.56 is: 133.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.20 : 240.38 = 96.56 : x
  2. Step 2: Convert to fraction form
    174.20/240.38 = 96.56/x
  3. Step 3: Cross multiply
    174.20x = 240.38 × 96.56
  4. Step 4: Simplify right side
    174.20x = 23,211.09
  5. Step 5: Solve for x
    x = 23,211.09/174.20
  6. Step 6: Final answer
    x = 133.24

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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.