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Finding the Fourth Proportional to 112.19, 168.63 and 109.80

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Solution

The fourth proportional to 112.19, 168.63 and 109.80 is: 165.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.19 : 168.63 = 109.80 : x
  2. Step 2: Convert to fraction form
    112.19/168.63 = 109.80/x
  3. Step 3: Cross multiply
    112.19x = 168.63 × 109.80
  4. Step 4: Simplify right side
    112.19x = 18,515.57
  5. Step 5: Solve for x
    x = 18,515.57/112.19
  6. Step 6: Final answer
    x = 165.03

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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.