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Finding the Fourth Proportional to 131.27, 197.06 and 111.12

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Solution

The fourth proportional to 131.27, 197.06 and 111.12 is: 166.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.27 : 197.06 = 111.12 : x
  2. Step 2: Convert to fraction form
    131.27/197.06 = 111.12/x
  3. Step 3: Cross multiply
    131.27x = 197.06 × 111.12
  4. Step 4: Simplify right side
    131.27x = 21,896.75
  5. Step 5: Solve for x
    x = 21,896.75/131.27
  6. Step 6: Final answer
    x = 166.81

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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.