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Finding the Fourth Proportional to 82.96, 123.73 and 71.62

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Solution

The fourth proportional to 82.96, 123.73 and 71.62 is: 106.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.96 : 123.73 = 71.62 : x
  2. Step 2: Convert to fraction form
    82.96/123.73 = 71.62/x
  3. Step 3: Cross multiply
    82.96x = 123.73 × 71.62
  4. Step 4: Simplify right side
    82.96x = 8,861.54
  5. Step 5: Solve for x
    x = 8,861.54/82.96
  6. Step 6: Final answer
    x = 106.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.