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Finding the Fourth Proportional to 144.57, 216.42 and 107.91

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Solution

The fourth proportional to 144.57, 216.42 and 107.91 is: 161.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.57 : 216.42 = 107.91 : x
  2. Step 2: Convert to fraction form
    144.57/216.42 = 107.91/x
  3. Step 3: Cross multiply
    144.57x = 216.42 × 107.91
  4. Step 4: Simplify right side
    144.57x = 23,353.88
  5. Step 5: Solve for x
    x = 23,353.88/144.57
  6. Step 6: Final answer
    x = 161.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.