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Finding the Fourth Proportional to 75.25, 103.85 and 40.75

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Solution

The fourth proportional to 75.25, 103.85 and 40.75 is: 56.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.25 : 103.85 = 40.75 : x
  2. Step 2: Convert to fraction form
    75.25/103.85 = 40.75/x
  3. Step 3: Cross multiply
    75.25x = 103.85 × 40.75
  4. Step 4: Simplify right side
    75.25x = 4,231.68
  5. Step 5: Solve for x
    x = 4,231.68/75.25
  6. Step 6: Final answer
    x = 56.24

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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.