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Finding the Fourth Proportional to 105.24, 157.76 and 89.09

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Solution

The fourth proportional to 105.24, 157.76 and 89.09 is: 133.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.24 : 157.76 = 89.09 : x
  2. Step 2: Convert to fraction form
    105.24/157.76 = 89.09/x
  3. Step 3: Cross multiply
    105.24x = 157.76 × 89.09
  4. Step 4: Simplify right side
    105.24x = 14,054.71
  5. Step 5: Solve for x
    x = 14,054.71/105.24
  6. Step 6: Final answer
    x = 133.55

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