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Finding the Fourth Proportional to 83.12, 114.66 and 76.83

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Solution

The fourth proportional to 83.12, 114.66 and 76.83 is: 105.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.12 : 114.66 = 76.83 : x
  2. Step 2: Convert to fraction form
    83.12/114.66 = 76.83/x
  3. Step 3: Cross multiply
    83.12x = 114.66 × 76.83
  4. Step 4: Simplify right side
    83.12x = 8,809.33
  5. Step 5: Solve for x
    x = 8,809.33/83.12
  6. Step 6: Final answer
    x = 105.99

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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.