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Finding the Fourth Proportional to 119.75, 180.41 and 99.90

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Solution

The fourth proportional to 119.75, 180.41 and 99.90 is: 150.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.75 : 180.41 = 99.90 : x
  2. Step 2: Convert to fraction form
    119.75/180.41 = 99.90/x
  3. Step 3: Cross multiply
    119.75x = 180.41 × 99.90
  4. Step 4: Simplify right side
    119.75x = 18,022.46
  5. Step 5: Solve for x
    x = 18,022.46/119.75
  6. Step 6: Final answer
    x = 150.51

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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.