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Finding the Fourth Proportional to 83.50, 115.30 and 69.83

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Solution

The fourth proportional to 83.50, 115.30 and 69.83 is: 96.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.50 : 115.30 = 69.83 : x
  2. Step 2: Convert to fraction form
    83.50/115.30 = 69.83/x
  3. Step 3: Cross multiply
    83.50x = 115.30 × 69.83
  4. Step 4: Simplify right side
    83.50x = 8,051.15
  5. Step 5: Solve for x
    x = 8,051.15/83.50
  6. Step 6: Final answer
    x = 96.42

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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.