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Finding the Fourth Proportional to 132.96, 199.47 and 51.82

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Solution

The fourth proportional to 132.96, 199.47 and 51.82 is: 77.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.96 : 199.47 = 51.82 : x
  2. Step 2: Convert to fraction form
    132.96/199.47 = 51.82/x
  3. Step 3: Cross multiply
    132.96x = 199.47 × 51.82
  4. Step 4: Simplify right side
    132.96x = 10,336.54
  5. Step 5: Solve for x
    x = 10,336.54/132.96
  6. Step 6: Final answer
    x = 77.74

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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.