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Finding the Fourth Proportional to 83.46, 115.12 and 69.64

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Solution

The fourth proportional to 83.46, 115.12 and 69.64 is: 96.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.46 : 115.12 = 69.64 : x
  2. Step 2: Convert to fraction form
    83.46/115.12 = 69.64/x
  3. Step 3: Cross multiply
    83.46x = 115.12 × 69.64
  4. Step 4: Simplify right side
    83.46x = 8,016.76
  5. Step 5: Solve for x
    x = 8,016.76/83.46
  6. Step 6: Final answer
    x = 96.05

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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.