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Finding the Fourth Proportional to 74.53, 111.72 and 31.81

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Solution

The fourth proportional to 74.53, 111.72 and 31.81 is: 47.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.53 : 111.72 = 31.81 : x
  2. Step 2: Convert to fraction form
    74.53/111.72 = 31.81/x
  3. Step 3: Cross multiply
    74.53x = 111.72 × 31.81
  4. Step 4: Simplify right side
    74.53x = 3,553.81
  5. Step 5: Solve for x
    x = 3,553.81/74.53
  6. Step 6: Final answer
    x = 47.68

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