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Finding the Fourth Proportional to 138.94, 208.22 and 66.66

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Solution

The fourth proportional to 138.94, 208.22 and 66.66 is: 99.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.94 : 208.22 = 66.66 : x
  2. Step 2: Convert to fraction form
    138.94/208.22 = 66.66/x
  3. Step 3: Cross multiply
    138.94x = 208.22 × 66.66
  4. Step 4: Simplify right side
    138.94x = 13,879.95
  5. Step 5: Solve for x
    x = 13,879.95/138.94
  6. Step 6: Final answer
    x = 99.90

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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.