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Finding the Fourth Proportional to 75.78, 113.65 and 24.44

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Solution

The fourth proportional to 75.78, 113.65 and 24.44 is: 36.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.78 : 113.65 = 24.44 : x
  2. Step 2: Convert to fraction form
    75.78/113.65 = 24.44/x
  3. Step 3: Cross multiply
    75.78x = 113.65 × 24.44
  4. Step 4: Simplify right side
    75.78x = 2,776.98
  5. Step 5: Solve for x
    x = 2,776.98/75.78
  6. Step 6: Final answer
    x = 36.65

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