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Finding the Fourth Proportional to 174.45, 240.74 and 96.82

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Solution

The fourth proportional to 174.45, 240.74 and 96.82 is: 133.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.45 : 240.74 = 96.82 : x
  2. Step 2: Convert to fraction form
    174.45/240.74 = 96.82/x
  3. Step 3: Cross multiply
    174.45x = 240.74 × 96.82
  4. Step 4: Simplify right side
    174.45x = 23,308.45
  5. Step 5: Solve for x
    x = 23,308.45/174.45
  6. Step 6: Final answer
    x = 133.61

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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.