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Finding the Fourth Proportional to 132.87, 198.99 and 84.63

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Solution

The fourth proportional to 132.87, 198.99 and 84.63 is: 126.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.87 : 198.99 = 84.63 : x
  2. Step 2: Convert to fraction form
    132.87/198.99 = 84.63/x
  3. Step 3: Cross multiply
    132.87x = 198.99 × 84.63
  4. Step 4: Simplify right side
    132.87x = 16,840.52
  5. Step 5: Solve for x
    x = 16,840.52/132.87
  6. Step 6: Final answer
    x = 126.74

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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.