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Finding the Fourth Proportional to 83.83, 115.45 and 68.26

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Solution

The fourth proportional to 83.83, 115.45 and 68.26 is: 94.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.83 : 115.45 = 68.26 : x
  2. Step 2: Convert to fraction form
    83.83/115.45 = 68.26/x
  3. Step 3: Cross multiply
    83.83x = 115.45 × 68.26
  4. Step 4: Simplify right side
    83.83x = 7,880.62
  5. Step 5: Solve for x
    x = 7,880.62/83.83
  6. Step 6: Final answer
    x = 94.01

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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.