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Finding the Fourth Proportional to 159.08, 238.64 and 77.90

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Solution

The fourth proportional to 159.08, 238.64 and 77.90 is: 116.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.08 : 238.64 = 77.90 : x
  2. Step 2: Convert to fraction form
    159.08/238.64 = 77.90/x
  3. Step 3: Cross multiply
    159.08x = 238.64 × 77.90
  4. Step 4: Simplify right side
    159.08x = 18,588.47
  5. Step 5: Solve for x
    x = 18,588.47/159.08
  6. Step 6: Final answer
    x = 116.85

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