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Finding the Fourth Proportional to 75.81, 113.74 and 65.08

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Solution

The fourth proportional to 75.81, 113.74 and 65.08 is: 97.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.81 : 113.74 = 65.08 : x
  2. Step 2: Convert to fraction form
    75.81/113.74 = 65.08/x
  3. Step 3: Cross multiply
    75.81x = 113.74 × 65.08
  4. Step 4: Simplify right side
    75.81x = 7,401.75
  5. Step 5: Solve for x
    x = 7,401.75/75.81
  6. Step 6: Final answer
    x = 97.64

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