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Finding the Fourth Proportional to 73.86, 110.82 and 28.24

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Solution

The fourth proportional to 73.86, 110.82 and 28.24 is: 42.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.86 : 110.82 = 28.24 : x
  2. Step 2: Convert to fraction form
    73.86/110.82 = 28.24/x
  3. Step 3: Cross multiply
    73.86x = 110.82 × 28.24
  4. Step 4: Simplify right side
    73.86x = 3,129.56
  5. Step 5: Solve for x
    x = 3,129.56/73.86
  6. Step 6: Final answer
    x = 42.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.