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Finding the Fourth Proportional to 120.94, 180.07 and 119.20

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Solution

The fourth proportional to 120.94, 180.07 and 119.20 is: 177.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.94 : 180.07 = 119.20 : x
  2. Step 2: Convert to fraction form
    120.94/180.07 = 119.20/x
  3. Step 3: Cross multiply
    120.94x = 180.07 × 119.20
  4. Step 4: Simplify right side
    120.94x = 21,464.34
  5. Step 5: Solve for x
    x = 21,464.34/120.94
  6. Step 6: Final answer
    x = 177.48

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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.