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Finding the Fourth Proportional to 132.92, 199.38 and 46.27

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Solution

The fourth proportional to 132.92, 199.38 and 46.27 is: 69.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.92 : 199.38 = 46.27 : x
  2. Step 2: Convert to fraction form
    132.92/199.38 = 46.27/x
  3. Step 3: Cross multiply
    132.92x = 199.38 × 46.27
  4. Step 4: Simplify right side
    132.92x = 9,225.31
  5. Step 5: Solve for x
    x = 9,225.31/132.92
  6. Step 6: Final answer
    x = 69.41

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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.