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Finding the Fourth Proportional to 120.65, 179.73 and 119.43

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Solution

The fourth proportional to 120.65, 179.73 and 119.43 is: 177.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.65 : 179.73 = 119.43 : x
  2. Step 2: Convert to fraction form
    120.65/179.73 = 119.43/x
  3. Step 3: Cross multiply
    120.65x = 179.73 × 119.43
  4. Step 4: Simplify right side
    120.65x = 21,465.15
  5. Step 5: Solve for x
    x = 21,465.15/120.65
  6. Step 6: Final answer
    x = 177.92

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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.