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Finding the Fourth Proportional to 105.91, 157.78 and 100.74

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Solution

The fourth proportional to 105.91, 157.78 and 100.74 is: 150.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.91 : 157.78 = 100.74 : x
  2. Step 2: Convert to fraction form
    105.91/157.78 = 100.74/x
  3. Step 3: Cross multiply
    105.91x = 157.78 × 100.74
  4. Step 4: Simplify right side
    105.91x = 15,895.47
  5. Step 5: Solve for x
    x = 15,895.47/105.91
  6. Step 6: Final answer
    x = 150.09

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