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Finding the Fourth Proportional to 71.13, 106.63 and 53.75

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Solution

The fourth proportional to 71.13, 106.63 and 53.75 is: 80.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.13 : 106.63 = 53.75 : x
  2. Step 2: Convert to fraction form
    71.13/106.63 = 53.75/x
  3. Step 3: Cross multiply
    71.13x = 106.63 × 53.75
  4. Step 4: Simplify right side
    71.13x = 5,731.09
  5. Step 5: Solve for x
    x = 5,731.09/71.13
  6. Step 6: Final answer
    x = 80.57

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