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Finding the Fourth Proportional to 119.88, 180.74 and 96.12

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Solution

The fourth proportional to 119.88, 180.74 and 96.12 is: 144.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.88 : 180.74 = 96.12 : x
  2. Step 2: Convert to fraction form
    119.88/180.74 = 96.12/x
  3. Step 3: Cross multiply
    119.88x = 180.74 × 96.12
  4. Step 4: Simplify right side
    119.88x = 17,372.73
  5. Step 5: Solve for x
    x = 17,372.73/119.88
  6. Step 6: Final answer
    x = 144.92

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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.