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Finding the Fourth Proportional to 132.66, 198.94 and 41.33

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Solution

The fourth proportional to 132.66, 198.94 and 41.33 is: 61.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.66 : 198.94 = 41.33 : x
  2. Step 2: Convert to fraction form
    132.66/198.94 = 41.33/x
  3. Step 3: Cross multiply
    132.66x = 198.94 × 41.33
  4. Step 4: Simplify right side
    132.66x = 8,222.19
  5. Step 5: Solve for x
    x = 8,222.19/132.66
  6. Step 6: Final answer
    x = 61.98

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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.