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Finding the Fourth Proportional to 112.14, 168.27 and 85.05

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Solution

The fourth proportional to 112.14, 168.27 and 85.05 is: 127.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.14 : 168.27 = 85.05 : x
  2. Step 2: Convert to fraction form
    112.14/168.27 = 85.05/x
  3. Step 3: Cross multiply
    112.14x = 168.27 × 85.05
  4. Step 4: Simplify right side
    112.14x = 14,311.36
  5. Step 5: Solve for x
    x = 14,311.36/112.14
  6. Step 6: Final answer
    x = 127.62

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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.