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Finding the Fourth Proportional to 120.81, 180.99 and 96.49

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Solution

The fourth proportional to 120.81, 180.99 and 96.49 is: 144.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.81 : 180.99 = 96.49 : x
  2. Step 2: Convert to fraction form
    120.81/180.99 = 96.49/x
  3. Step 3: Cross multiply
    120.81x = 180.99 × 96.49
  4. Step 4: Simplify right side
    120.81x = 17,463.73
  5. Step 5: Solve for x
    x = 17,463.73/120.81
  6. Step 6: Final answer
    x = 144.56

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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.