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Finding the Fourth Proportional to 111.50, 166.06 and 110.68

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Solution

The fourth proportional to 111.50, 166.06 and 110.68 is: 164.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.50 : 166.06 = 110.68 : x
  2. Step 2: Convert to fraction form
    111.50/166.06 = 110.68/x
  3. Step 3: Cross multiply
    111.50x = 166.06 × 110.68
  4. Step 4: Simplify right side
    111.50x = 18,379.52
  5. Step 5: Solve for x
    x = 18,379.52/111.50
  6. Step 6: Final answer
    x = 164.84

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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.