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Finding the Fourth Proportional to 75.23, 112.85 and 34.64

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Solution

The fourth proportional to 75.23, 112.85 and 34.64 is: 51.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.23 : 112.85 = 34.64 : x
  2. Step 2: Convert to fraction form
    75.23/112.85 = 34.64/x
  3. Step 3: Cross multiply
    75.23x = 112.85 × 34.64
  4. Step 4: Simplify right side
    75.23x = 3,909.12
  5. Step 5: Solve for x
    x = 3,909.12/75.23
  6. Step 6: Final answer
    x = 51.96

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