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Finding the Fourth Proportional to 96.96, 133.13 and 82.98

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Solution

The fourth proportional to 96.96, 133.13 and 82.98 is: 113.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.96 : 133.13 = 82.98 : x
  2. Step 2: Convert to fraction form
    96.96/133.13 = 82.98/x
  3. Step 3: Cross multiply
    96.96x = 133.13 × 82.98
  4. Step 4: Simplify right side
    96.96x = 11,047.13
  5. Step 5: Solve for x
    x = 11,047.13/96.96
  6. Step 6: Final answer
    x = 113.93

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.