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Finding the Fourth Proportional to 132.36, 198.12 and 91.68

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Solution

The fourth proportional to 132.36, 198.12 and 91.68 is: 137.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.36 : 198.12 = 91.68 : x
  2. Step 2: Convert to fraction form
    132.36/198.12 = 91.68/x
  3. Step 3: Cross multiply
    132.36x = 198.12 × 91.68
  4. Step 4: Simplify right side
    132.36x = 18,163.64
  5. Step 5: Solve for x
    x = 18,163.64/132.36
  6. Step 6: Final answer
    x = 137.23

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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.