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Finding the Fourth Proportional to 73.24, 109.87 and 27.56

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Solution

The fourth proportional to 73.24, 109.87 and 27.56 is: 41.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.24 : 109.87 = 27.56 : x
  2. Step 2: Convert to fraction form
    73.24/109.87 = 27.56/x
  3. Step 3: Cross multiply
    73.24x = 109.87 × 27.56
  4. Step 4: Simplify right side
    73.24x = 3,028.02
  5. Step 5: Solve for x
    x = 3,028.02/73.24
  6. Step 6: Final answer
    x = 41.34

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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.