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Finding the Fourth Proportional to 75.78, 104.69 and 53.91

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Solution

The fourth proportional to 75.78, 104.69 and 53.91 is: 74.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.78 : 104.69 = 53.91 : x
  2. Step 2: Convert to fraction form
    75.78/104.69 = 53.91/x
  3. Step 3: Cross multiply
    75.78x = 104.69 × 53.91
  4. Step 4: Simplify right side
    75.78x = 5,643.57
  5. Step 5: Solve for x
    x = 5,643.57/75.78
  6. Step 6: Final answer
    x = 74.47

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