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Finding the Fourth Proportional to 69.27, 103.19 and 65.76

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Solution

The fourth proportional to 69.27, 103.19 and 65.76 is: 97.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.27 : 103.19 = 65.76 : x
  2. Step 2: Convert to fraction form
    69.27/103.19 = 65.76/x
  3. Step 3: Cross multiply
    69.27x = 103.19 × 65.76
  4. Step 4: Simplify right side
    69.27x = 6,785.45
  5. Step 5: Solve for x
    x = 6,785.45/69.27
  6. Step 6: Final answer
    x = 97.96

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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.