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Finding the Fourth Proportional to 82.31, 123.42 and 30.94

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Solution

The fourth proportional to 82.31, 123.42 and 30.94 is: 46.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.31 : 123.42 = 30.94 : x
  2. Step 2: Convert to fraction form
    82.31/123.42 = 30.94/x
  3. Step 3: Cross multiply
    82.31x = 123.42 × 30.94
  4. Step 4: Simplify right side
    82.31x = 3,818.42
  5. Step 5: Solve for x
    x = 3,818.42/82.31
  6. Step 6: Final answer
    x = 46.39

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