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Finding the Fourth Proportional to 120.19, 179.96 and 68.79

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Solution

The fourth proportional to 120.19, 179.96 and 68.79 is: 102.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.19 : 179.96 = 68.79 : x
  2. Step 2: Convert to fraction form
    120.19/179.96 = 68.79/x
  3. Step 3: Cross multiply
    120.19x = 179.96 × 68.79
  4. Step 4: Simplify right side
    120.19x = 12,378.38
  5. Step 5: Solve for x
    x = 12,378.38/120.19
  6. Step 6: Final answer
    x = 102.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.