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Finding the Fourth Proportional to 69.20, 103.46 and 64.61

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Solution

The fourth proportional to 69.20, 103.46 and 64.61 is: 96.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.20 : 103.46 = 64.61 : x
  2. Step 2: Convert to fraction form
    69.20/103.46 = 64.61/x
  3. Step 3: Cross multiply
    69.20x = 103.46 × 64.61
  4. Step 4: Simplify right side
    69.20x = 6,683.71
  5. Step 5: Solve for x
    x = 6,683.71/69.20
  6. Step 6: Final answer
    x = 96.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.