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Finding the Fourth Proportional to 132.21, 182.32 and 83.09

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Solution

The fourth proportional to 132.21, 182.32 and 83.09 is: 114.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.21 : 182.32 = 83.09 : x
  2. Step 2: Convert to fraction form
    132.21/182.32 = 83.09/x
  3. Step 3: Cross multiply
    132.21x = 182.32 × 83.09
  4. Step 4: Simplify right side
    132.21x = 15,148.97
  5. Step 5: Solve for x
    x = 15,148.97/132.21
  6. Step 6: Final answer
    x = 114.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.