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Finding the Fourth Proportional to 111.07, 166.48 and 85.31

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Solution

The fourth proportional to 111.07, 166.48 and 85.31 is: 127.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.07 : 166.48 = 85.31 : x
  2. Step 2: Convert to fraction form
    111.07/166.48 = 85.31/x
  3. Step 3: Cross multiply
    111.07x = 166.48 × 85.31
  4. Step 4: Simplify right side
    111.07x = 14,202.41
  5. Step 5: Solve for x
    x = 14,202.41/111.07
  6. Step 6: Final answer
    x = 127.87

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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.