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Finding the Fourth Proportional to 69.86, 104.61 and 56.09

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Solution

The fourth proportional to 69.86, 104.61 and 56.09 is: 83.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.86 : 104.61 = 56.09 : x
  2. Step 2: Convert to fraction form
    69.86/104.61 = 56.09/x
  3. Step 3: Cross multiply
    69.86x = 104.61 × 56.09
  4. Step 4: Simplify right side
    69.86x = 5,867.57
  5. Step 5: Solve for x
    x = 5,867.57/69.86
  6. Step 6: Final answer
    x = 83.99

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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.