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Finding the Fourth Proportional to 120.24, 180.22 and 95.73

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Solution

The fourth proportional to 120.24, 180.22 and 95.73 is: 143.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.24 : 180.22 = 95.73 : x
  2. Step 2: Convert to fraction form
    120.24/180.22 = 95.73/x
  3. Step 3: Cross multiply
    120.24x = 180.22 × 95.73
  4. Step 4: Simplify right side
    120.24x = 17,252.46
  5. Step 5: Solve for x
    x = 17,252.46/120.24
  6. Step 6: Final answer
    x = 143.48

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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.