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Finding the Fourth Proportional to 138.66, 208.02 and 69.29

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Solution

The fourth proportional to 138.66, 208.02 and 69.29 is: 103.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.66 : 208.02 = 69.29 : x
  2. Step 2: Convert to fraction form
    138.66/208.02 = 69.29/x
  3. Step 3: Cross multiply
    138.66x = 208.02 × 69.29
  4. Step 4: Simplify right side
    138.66x = 14,413.64
  5. Step 5: Solve for x
    x = 14,413.64/138.66
  6. Step 6: Final answer
    x = 103.95

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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.