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Finding the Fourth Proportional to 131.37, 196.77 and 111.48

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Solution

The fourth proportional to 131.37, 196.77 and 111.48 is: 166.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.37 : 196.77 = 111.48 : x
  2. Step 2: Convert to fraction form
    131.37/196.77 = 111.48/x
  3. Step 3: Cross multiply
    131.37x = 196.77 × 111.48
  4. Step 4: Simplify right side
    131.37x = 21,935.92
  5. Step 5: Solve for x
    x = 21,935.92/131.37
  6. Step 6: Final answer
    x = 166.98

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