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Finding the Fourth Proportional to 144.82, 217.24 and 96.10

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Solution

The fourth proportional to 144.82, 217.24 and 96.10 is: 144.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.82 : 217.24 = 96.10 : x
  2. Step 2: Convert to fraction form
    144.82/217.24 = 96.10/x
  3. Step 3: Cross multiply
    144.82x = 217.24 × 96.10
  4. Step 4: Simplify right side
    144.82x = 20,876.76
  5. Step 5: Solve for x
    x = 20,876.76/144.82
  6. Step 6: Final answer
    x = 144.16

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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.