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Finding the Fourth Proportional to 137.16, 205.79 and 85.74

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Solution

The fourth proportional to 137.16, 205.79 and 85.74 is: 128.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.16 : 205.79 = 85.74 : x
  2. Step 2: Convert to fraction form
    137.16/205.79 = 85.74/x
  3. Step 3: Cross multiply
    137.16x = 205.79 × 85.74
  4. Step 4: Simplify right side
    137.16x = 17,643.30
  5. Step 5: Solve for x
    x = 17,643.30/137.16
  6. Step 6: Final answer
    x = 128.63

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