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Finding the Fourth Proportional to 131.89, 196.91 and 111.39

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Solution

The fourth proportional to 131.89, 196.91 and 111.39 is: 166.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.89 : 196.91 = 111.39 : x
  2. Step 2: Convert to fraction form
    131.89/196.91 = 111.39/x
  3. Step 3: Cross multiply
    131.89x = 196.91 × 111.39
  4. Step 4: Simplify right side
    131.89x = 21,933.80
  5. Step 5: Solve for x
    x = 21,933.80/131.89
  6. Step 6: Final answer
    x = 166.30

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