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Finding the Fourth Proportional to 75.72, 113.64 and 51.72

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Solution

The fourth proportional to 75.72, 113.64 and 51.72 is: 77.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.72 : 113.64 = 51.72 : x
  2. Step 2: Convert to fraction form
    75.72/113.64 = 51.72/x
  3. Step 3: Cross multiply
    75.72x = 113.64 × 51.72
  4. Step 4: Simplify right side
    75.72x = 5,877.46
  5. Step 5: Solve for x
    x = 5,877.46/75.72
  6. Step 6: Final answer
    x = 77.62

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