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Finding the Fourth Proportional to 132.23, 198.37 and 55.15

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Solution

The fourth proportional to 132.23, 198.37 and 55.15 is: 82.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.23 : 198.37 = 55.15 : x
  2. Step 2: Convert to fraction form
    132.23/198.37 = 55.15/x
  3. Step 3: Cross multiply
    132.23x = 198.37 × 55.15
  4. Step 4: Simplify right side
    132.23x = 10,941.06
  5. Step 5: Solve for x
    x = 10,941.06/132.23
  6. Step 6: Final answer
    x = 82.74

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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.