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Finding the Fourth Proportional to 75.39, 103.92 and 47.75

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Solution

The fourth proportional to 75.39, 103.92 and 47.75 is: 65.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.39 : 103.92 = 47.75 : x
  2. Step 2: Convert to fraction form
    75.39/103.92 = 47.75/x
  3. Step 3: Cross multiply
    75.39x = 103.92 × 47.75
  4. Step 4: Simplify right side
    75.39x = 4,961.66
  5. Step 5: Solve for x
    x = 4,961.66/75.39
  6. Step 6: Final answer
    x = 65.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.