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Finding the Fourth Proportional to 105.86, 146.10 and 70.94

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Solution

The fourth proportional to 105.86, 146.10 and 70.94 is: 97.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.86 : 146.10 = 70.94 : x
  2. Step 2: Convert to fraction form
    105.86/146.10 = 70.94/x
  3. Step 3: Cross multiply
    105.86x = 146.10 × 70.94
  4. Step 4: Simplify right side
    105.86x = 10,364.33
  5. Step 5: Solve for x
    x = 10,364.33/105.86
  6. Step 6: Final answer
    x = 97.91

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