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Finding the Fourth Proportional to 120.38, 179.59 and 107.31

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Solution

The fourth proportional to 120.38, 179.59 and 107.31 is: 160.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.38 : 179.59 = 107.31 : x
  2. Step 2: Convert to fraction form
    120.38/179.59 = 107.31/x
  3. Step 3: Cross multiply
    120.38x = 179.59 × 107.31
  4. Step 4: Simplify right side
    120.38x = 19,271.80
  5. Step 5: Solve for x
    x = 19,271.80/120.38
  6. Step 6: Final answer
    x = 160.09

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