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Finding the Fourth Proportional to 112.30, 168.48 and 79.84

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Solution

The fourth proportional to 112.30, 168.48 and 79.84 is: 119.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.30 : 168.48 = 79.84 : x
  2. Step 2: Convert to fraction form
    112.30/168.48 = 79.84/x
  3. Step 3: Cross multiply
    112.30x = 168.48 × 79.84
  4. Step 4: Simplify right side
    112.30x = 13,451.44
  5. Step 5: Solve for x
    x = 13,451.44/112.30
  6. Step 6: Final answer
    x = 119.78

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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.