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Finding the Fourth Proportional to 96.27, 144.08 and 83.37

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Solution

The fourth proportional to 96.27, 144.08 and 83.37 is: 124.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.27 : 144.08 = 83.37 : x
  2. Step 2: Convert to fraction form
    96.27/144.08 = 83.37/x
  3. Step 3: Cross multiply
    96.27x = 144.08 × 83.37
  4. Step 4: Simplify right side
    96.27x = 12,011.53
  5. Step 5: Solve for x
    x = 12,011.53/96.27
  6. Step 6: Final answer
    x = 124.77

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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.