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Finding the Fourth Proportional to 138.15, 206.91 and 91.77

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Solution

The fourth proportional to 138.15, 206.91 and 91.77 is: 137.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.15 : 206.91 = 91.77 : x
  2. Step 2: Convert to fraction form
    138.15/206.91 = 91.77/x
  3. Step 3: Cross multiply
    138.15x = 206.91 × 91.77
  4. Step 4: Simplify right side
    138.15x = 18,988.13
  5. Step 5: Solve for x
    x = 18,988.13/138.15
  6. Step 6: Final answer
    x = 137.45

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