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Finding the Fourth Proportional to 132.41, 182.73 and 101.27

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Solution

The fourth proportional to 132.41, 182.73 and 101.27 is: 139.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.41 : 182.73 = 101.27 : x
  2. Step 2: Convert to fraction form
    132.41/182.73 = 101.27/x
  3. Step 3: Cross multiply
    132.41x = 182.73 × 101.27
  4. Step 4: Simplify right side
    132.41x = 18,504.15
  5. Step 5: Solve for x
    x = 18,504.15/132.41
  6. Step 6: Final answer
    x = 139.75

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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.