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Finding the Fourth Proportional to 69.69, 104.58 and 29.15

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Solution

The fourth proportional to 69.69, 104.58 and 29.15 is: 43.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.69 : 104.58 = 29.15 : x
  2. Step 2: Convert to fraction form
    69.69/104.58 = 29.15/x
  3. Step 3: Cross multiply
    69.69x = 104.58 × 29.15
  4. Step 4: Simplify right side
    69.69x = 3,047.98
  5. Step 5: Solve for x
    x = 3,047.98/69.69
  6. Step 6: Final answer
    x = 43.74

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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.