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Finding the Fourth Proportional to 132.61, 182.96 and 101.14

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Solution

The fourth proportional to 132.61, 182.96 and 101.14 is: 139.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.61 : 182.96 = 101.14 : x
  2. Step 2: Convert to fraction form
    132.61/182.96 = 101.14/x
  3. Step 3: Cross multiply
    132.61x = 182.96 × 101.14
  4. Step 4: Simplify right side
    132.61x = 18,504.57
  5. Step 5: Solve for x
    x = 18,504.57/132.61
  6. Step 6: Final answer
    x = 139.54

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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.