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Finding the Fourth Proportional to 132.42, 198.76 and 63.98

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Solution

The fourth proportional to 132.42, 198.76 and 63.98 is: 96.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.42 : 198.76 = 63.98 : x
  2. Step 2: Convert to fraction form
    132.42/198.76 = 63.98/x
  3. Step 3: Cross multiply
    132.42x = 198.76 × 63.98
  4. Step 4: Simplify right side
    132.42x = 12,716.66
  5. Step 5: Solve for x
    x = 12,716.66/132.42
  6. Step 6: Final answer
    x = 96.03

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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.