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Finding the Fourth Proportional to 96.41, 144.83 and 81.23

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Solution

The fourth proportional to 96.41, 144.83 and 81.23 is: 122.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.41 : 144.83 = 81.23 : x
  2. Step 2: Convert to fraction form
    96.41/144.83 = 81.23/x
  3. Step 3: Cross multiply
    96.41x = 144.83 × 81.23
  4. Step 4: Simplify right side
    96.41x = 11,764.02
  5. Step 5: Solve for x
    x = 11,764.02/96.41
  6. Step 6: Final answer
    x = 122.02

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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.