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Finding the Fourth Proportional to 96.05, 144.05 and 27.56

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Solution

The fourth proportional to 96.05, 144.05 and 27.56 is: 41.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.05 : 144.05 = 27.56 : x
  2. Step 2: Convert to fraction form
    96.05/144.05 = 27.56/x
  3. Step 3: Cross multiply
    96.05x = 144.05 × 27.56
  4. Step 4: Simplify right side
    96.05x = 3,970.45
  5. Step 5: Solve for x
    x = 3,970.45/96.05
  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.