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Finding the Fourth Proportional to 132.16, 196.96 and 131.56

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Solution

The fourth proportional to 132.16, 196.96 and 131.56 is: 196.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.16 : 196.96 = 131.56 : x
  2. Step 2: Convert to fraction form
    132.16/196.96 = 131.56/x
  3. Step 3: Cross multiply
    132.16x = 196.96 × 131.56
  4. Step 4: Simplify right side
    132.16x = 25,912.06
  5. Step 5: Solve for x
    x = 25,912.06/132.16
  6. Step 6: Final answer
    x = 196.07

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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.