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Finding the Fourth Proportional to 71.31, 106.90 and 64.94

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Solution

The fourth proportional to 71.31, 106.90 and 64.94 is: 97.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.31 : 106.90 = 64.94 : x
  2. Step 2: Convert to fraction form
    71.31/106.90 = 64.94/x
  3. Step 3: Cross multiply
    71.31x = 106.90 × 64.94
  4. Step 4: Simplify right side
    71.31x = 6,942.09
  5. Step 5: Solve for x
    x = 6,942.09/71.31
  6. Step 6: Final answer
    x = 97.35

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