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Finding the Fourth Proportional to 75.02, 112.77 and 52.35

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Solution

The fourth proportional to 75.02, 112.77 and 52.35 is: 78.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.02 : 112.77 = 52.35 : x
  2. Step 2: Convert to fraction form
    75.02/112.77 = 52.35/x
  3. Step 3: Cross multiply
    75.02x = 112.77 × 52.35
  4. Step 4: Simplify right side
    75.02x = 5,903.25
  5. Step 5: Solve for x
    x = 5,903.25/75.02
  6. Step 6: Final answer
    x = 78.69

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