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Finding the Fourth Proportional to 75.28, 112.31 and 71.84

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Solution

The fourth proportional to 75.28, 112.31 and 71.84 is: 107.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.28 : 112.31 = 71.84 : x
  2. Step 2: Convert to fraction form
    75.28/112.31 = 71.84/x
  3. Step 3: Cross multiply
    75.28x = 112.31 × 71.84
  4. Step 4: Simplify right side
    75.28x = 8,068.35
  5. Step 5: Solve for x
    x = 8,068.35/75.28
  6. Step 6: Final answer
    x = 107.18

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