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Finding the Fourth Proportional to 75.73, 113.64 and 45.40

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Solution

The fourth proportional to 75.73, 113.64 and 45.40 is: 68.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.73 : 113.64 = 45.40 : x
  2. Step 2: Convert to fraction form
    75.73/113.64 = 45.40/x
  3. Step 3: Cross multiply
    75.73x = 113.64 × 45.40
  4. Step 4: Simplify right side
    75.73x = 5,159.26
  5. Step 5: Solve for x
    x = 5,159.26/75.73
  6. Step 6: Final answer
    x = 68.13

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