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Finding the Fourth Proportional to 43.31, 64.89 and 31.84

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Solution

The fourth proportional to 43.31, 64.89 and 31.84 is: 47.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.31 : 64.89 = 31.84 : x
  2. Step 2: Convert to fraction form
    43.31/64.89 = 31.84/x
  3. Step 3: Cross multiply
    43.31x = 64.89 × 31.84
  4. Step 4: Simplify right side
    43.31x = 2,065.94
  5. Step 5: Solve for x
    x = 2,065.94/43.31
  6. Step 6: Final answer
    x = 47.70

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