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Finding the Fourth Proportional to 82.54, 123.81 and 31.18

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Solution

The fourth proportional to 82.54, 123.81 and 31.18 is: 46.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.54 : 123.81 = 31.18 : x
  2. Step 2: Convert to fraction form
    82.54/123.81 = 31.18/x
  3. Step 3: Cross multiply
    82.54x = 123.81 × 31.18
  4. Step 4: Simplify right side
    82.54x = 3,860.40
  5. Step 5: Solve for x
    x = 3,860.40/82.54
  6. Step 6: Final answer
    x = 46.77

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