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Finding the Fourth Proportional to 73.52, 110.28 and 27.88

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Solution

The fourth proportional to 73.52, 110.28 and 27.88 is: 41.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.52 : 110.28 = 27.88 : x
  2. Step 2: Convert to fraction form
    73.52/110.28 = 27.88/x
  3. Step 3: Cross multiply
    73.52x = 110.28 × 27.88
  4. Step 4: Simplify right side
    73.52x = 3,074.61
  5. Step 5: Solve for x
    x = 3,074.61/73.52
  6. Step 6: Final answer
    x = 41.82

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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.