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Finding the Fourth Proportional to 112.12, 168.37 and 66.75

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Solution

The fourth proportional to 112.12, 168.37 and 66.75 is: 100.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.12 : 168.37 = 66.75 : x
  2. Step 2: Convert to fraction form
    112.12/168.37 = 66.75/x
  3. Step 3: Cross multiply
    112.12x = 168.37 × 66.75
  4. Step 4: Simplify right side
    112.12x = 11,237.52
  5. Step 5: Solve for x
    x = 11,237.52/112.12
  6. Step 6: Final answer
    x = 100.23

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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.