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Finding the Fourth Proportional to 96.27, 145.33 and 95.73

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Solution

The fourth proportional to 96.27, 145.33 and 95.73 is: 144.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.27 : 145.33 = 95.73 : x
  2. Step 2: Convert to fraction form
    96.27/145.33 = 95.73/x
  3. Step 3: Cross multiply
    96.27x = 145.33 × 95.73
  4. Step 4: Simplify right side
    96.27x = 13,912.20
  5. Step 5: Solve for x
    x = 13,912.20/96.27
  6. Step 6: Final answer
    x = 144.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.