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Finding the Fourth Proportional to 100.02, 138.13 and 77.95

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Solution

The fourth proportional to 100.02, 138.13 and 77.95 is: 107.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.02 : 138.13 = 77.95 : x
  2. Step 2: Convert to fraction form
    100.02/138.13 = 77.95/x
  3. Step 3: Cross multiply
    100.02x = 138.13 × 77.95
  4. Step 4: Simplify right side
    100.02x = 10,767.47
  5. Step 5: Solve for x
    x = 10,767.47/100.02
  6. Step 6: Final answer
    x = 107.65

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