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Finding the Fourth Proportional to 138.83, 208.21 and 57.66

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Solution

The fourth proportional to 138.83, 208.21 and 57.66 is: 86.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.83 : 208.21 = 57.66 : x
  2. Step 2: Convert to fraction form
    138.83/208.21 = 57.66/x
  3. Step 3: Cross multiply
    138.83x = 208.21 × 57.66
  4. Step 4: Simplify right side
    138.83x = 12,004.46
  5. Step 5: Solve for x
    x = 12,004.46/138.83
  6. Step 6: Final answer
    x = 86.47

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