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Finding the Fourth Proportional to 120.88, 180.44 and 119.59

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Solution

The fourth proportional to 120.88, 180.44 and 119.59 is: 178.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.88 : 180.44 = 119.59 : x
  2. Step 2: Convert to fraction form
    120.88/180.44 = 119.59/x
  3. Step 3: Cross multiply
    120.88x = 180.44 × 119.59
  4. Step 4: Simplify right side
    120.88x = 21,578.82
  5. Step 5: Solve for x
    x = 21,578.82/120.88
  6. Step 6: Final answer
    x = 178.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.