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Finding the Fourth Proportional to 111.06, 166.37 and 86.37

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Solution

The fourth proportional to 111.06, 166.37 and 86.37 is: 129.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.06 : 166.37 = 86.37 : x
  2. Step 2: Convert to fraction form
    111.06/166.37 = 86.37/x
  3. Step 3: Cross multiply
    111.06x = 166.37 × 86.37
  4. Step 4: Simplify right side
    111.06x = 14,369.27
  5. Step 5: Solve for x
    x = 14,369.27/111.06
  6. Step 6: Final answer
    x = 129.38

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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.