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Finding the Fourth Proportional to 112.21, 167.11 and 106.99

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Solution

The fourth proportional to 112.21, 167.11 and 106.99 is: 159.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.21 : 167.11 = 106.99 : x
  2. Step 2: Convert to fraction form
    112.21/167.11 = 106.99/x
  3. Step 3: Cross multiply
    112.21x = 167.11 × 106.99
  4. Step 4: Simplify right side
    112.21x = 17,878.41
  5. Step 5: Solve for x
    x = 17,878.41/112.21
  6. Step 6: Final answer
    x = 159.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.