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Finding the Fourth Proportional to 120.43, 179.83 and 119.16

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Solution

The fourth proportional to 120.43, 179.83 and 119.16 is: 177.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.43 : 179.83 = 119.16 : x
  2. Step 2: Convert to fraction form
    120.43/179.83 = 119.16/x
  3. Step 3: Cross multiply
    120.43x = 179.83 × 119.16
  4. Step 4: Simplify right side
    120.43x = 21,428.62
  5. Step 5: Solve for x
    x = 21,428.62/120.43
  6. Step 6: Final answer
    x = 177.93

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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.