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Finding the Fourth Proportional to 69.65, 96.18 and 61.85

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Solution

The fourth proportional to 69.65, 96.18 and 61.85 is: 85.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.65 : 96.18 = 61.85 : x
  2. Step 2: Convert to fraction form
    69.65/96.18 = 61.85/x
  3. Step 3: Cross multiply
    69.65x = 96.18 × 61.85
  4. Step 4: Simplify right side
    69.65x = 5,948.25
  5. Step 5: Solve for x
    x = 5,948.25/69.65
  6. Step 6: Final answer
    x = 85.41

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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.