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Finding the Fourth Proportional to 145.78, 218.41 and 77.35

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Solution

The fourth proportional to 145.78, 218.41 and 77.35 is: 115.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.78 : 218.41 = 77.35 : x
  2. Step 2: Convert to fraction form
    145.78/218.41 = 77.35/x
  3. Step 3: Cross multiply
    145.78x = 218.41 × 77.35
  4. Step 4: Simplify right side
    145.78x = 16,894.01
  5. Step 5: Solve for x
    x = 16,894.01/145.78
  6. Step 6: Final answer
    x = 115.89

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