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Finding the Fourth Proportional to 105.76, 158.76 and 102.64

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Solution

The fourth proportional to 105.76, 158.76 and 102.64 is: 154.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.76 : 158.76 = 102.64 : x
  2. Step 2: Convert to fraction form
    105.76/158.76 = 102.64/x
  3. Step 3: Cross multiply
    105.76x = 158.76 × 102.64
  4. Step 4: Simplify right side
    105.76x = 16,295.13
  5. Step 5: Solve for x
    x = 16,295.13/105.76
  6. Step 6: Final answer
    x = 154.08

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