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Finding the Fourth Proportional to 174.85, 241.30 and 96.17

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Solution

The fourth proportional to 174.85, 241.30 and 96.17 is: 132.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.85 : 241.30 = 96.17 : x
  2. Step 2: Convert to fraction form
    174.85/241.30 = 96.17/x
  3. Step 3: Cross multiply
    174.85x = 241.30 × 96.17
  4. Step 4: Simplify right side
    174.85x = 23,205.65
  5. Step 5: Solve for x
    x = 23,205.65/174.85
  6. Step 6: Final answer
    x = 132.72

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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.