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Finding the Fourth Proportional to 138.77, 208.16 and 61.72

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Solution

The fourth proportional to 138.77, 208.16 and 61.72 is: 92.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.77 : 208.16 = 61.72 : x
  2. Step 2: Convert to fraction form
    138.77/208.16 = 61.72/x
  3. Step 3: Cross multiply
    138.77x = 208.16 × 61.72
  4. Step 4: Simplify right side
    138.77x = 12,846.81
  5. Step 5: Solve for x
    x = 12,846.81/138.77
  6. Step 6: Final answer
    x = 92.57

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