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Finding the Fourth Proportional to 65, 89.68 and 40.42

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Solution

The fourth proportional to 65, 89.68 and 40.42 is: 55.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65 : 89.68 = 40.42 : x
  2. Step 2: Convert to fraction form
    65/89.68 = 40.42/x
  3. Step 3: Cross multiply
    65x = 89.68 × 40.42
  4. Step 4: Simplify right side
    65x = 3,624.87
  5. Step 5: Solve for x
    x = 3,624.87/65
  6. Step 6: Final answer
    x = 55.77

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