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Finding the Fourth Proportional to 111.55, 166.41 and 111.55

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Solution

The fourth proportional to 111.55, 166.41 and 111.55 is: 166.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.55 : 166.41 = 111.55 : x
  2. Step 2: Convert to fraction form
    111.55/166.41 = 111.55/x
  3. Step 3: Cross multiply
    111.55x = 166.41 × 111.55
  4. Step 4: Simplify right side
    111.55x = 18,563.04
  5. Step 5: Solve for x
    x = 18,563.04/111.55
  6. Step 6: Final answer
    x = 166.41

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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.