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Finding the Fourth Proportional to 132.80, 199.24 and 68.63

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Solution

The fourth proportional to 132.80, 199.24 and 68.63 is: 102.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.80 : 199.24 = 68.63 : x
  2. Step 2: Convert to fraction form
    132.80/199.24 = 68.63/x
  3. Step 3: Cross multiply
    132.80x = 199.24 × 68.63
  4. Step 4: Simplify right side
    132.80x = 13,672.67
  5. Step 5: Solve for x
    x = 13,672.67/132.80
  6. Step 6: Final answer
    x = 102.96

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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.