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Finding the Fourth Proportional to 69.65, 104.36 and 66.58

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Solution

The fourth proportional to 69.65, 104.36 and 66.58 is: 99.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.65 : 104.36 = 66.58 : x
  2. Step 2: Convert to fraction form
    69.65/104.36 = 66.58/x
  3. Step 3: Cross multiply
    69.65x = 104.36 × 66.58
  4. Step 4: Simplify right side
    69.65x = 6,947.70
  5. Step 5: Solve for x
    x = 6,947.70/69.65
  6. Step 6: Final answer
    x = 99.75

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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.