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Finding the Fourth Proportional to 111.66, 166.54 and 110.54

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Solution

The fourth proportional to 111.66, 166.54 and 110.54 is: 164.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.66 : 166.54 = 110.54 : x
  2. Step 2: Convert to fraction form
    111.66/166.54 = 110.54/x
  3. Step 3: Cross multiply
    111.66x = 166.54 × 110.54
  4. Step 4: Simplify right side
    111.66x = 18,408.78
  5. Step 5: Solve for x
    x = 18,408.78/111.66
  6. Step 6: Final answer
    x = 164.86

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Why These Related Problems?

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