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Finding the Fourth Proportional to 111.98, 168.57 and 86.44

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Solution

The fourth proportional to 111.98, 168.57 and 86.44 is: 130.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.98 : 168.57 = 86.44 : x
  2. Step 2: Convert to fraction form
    111.98/168.57 = 86.44/x
  3. Step 3: Cross multiply
    111.98x = 168.57 × 86.44
  4. Step 4: Simplify right side
    111.98x = 14,571.19
  5. Step 5: Solve for x
    x = 14,571.19/111.98
  6. Step 6: Final answer
    x = 130.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.