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Finding the Fourth Proportional to 125.20, 188.12 and 111.08

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Solution

The fourth proportional to 125.20, 188.12 and 111.08 is: 166.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.20 : 188.12 = 111.08 : x
  2. Step 2: Convert to fraction form
    125.20/188.12 = 111.08/x
  3. Step 3: Cross multiply
    125.20x = 188.12 × 111.08
  4. Step 4: Simplify right side
    125.20x = 20,896.37
  5. Step 5: Solve for x
    x = 20,896.37/125.20
  6. Step 6: Final answer
    x = 166.90

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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.