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Finding the Fourth Proportional to 111.08, 166.30 and 83.60

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Solution

The fourth proportional to 111.08, 166.30 and 83.60 is: 125.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.08 : 166.30 = 83.60 : x
  2. Step 2: Convert to fraction form
    111.08/166.30 = 83.60/x
  3. Step 3: Cross multiply
    111.08x = 166.30 × 83.60
  4. Step 4: Simplify right side
    111.08x = 13,902.68
  5. Step 5: Solve for x
    x = 13,902.68/111.08
  6. Step 6: Final answer
    x = 125.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.