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Finding the Fourth Proportional to 96.57, 133.27 and 82.76

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Solution

The fourth proportional to 96.57, 133.27 and 82.76 is: 114.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.57 : 133.27 = 82.76 : x
  2. Step 2: Convert to fraction form
    96.57/133.27 = 82.76/x
  3. Step 3: Cross multiply
    96.57x = 133.27 × 82.76
  4. Step 4: Simplify right side
    96.57x = 11,028.55
  5. Step 5: Solve for x
    x = 11,028.55/96.57
  6. Step 6: Final answer
    x = 114.20

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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.