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Finding the Fourth Proportional to 75.20, 112.86 and 27.14

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Solution

The fourth proportional to 75.20, 112.86 and 27.14 is: 40.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.20 : 112.86 = 27.14 : x
  2. Step 2: Convert to fraction form
    75.20/112.86 = 27.14/x
  3. Step 3: Cross multiply
    75.20x = 112.86 × 27.14
  4. Step 4: Simplify right side
    75.20x = 3,063.02
  5. Step 5: Solve for x
    x = 3,063.02/75.20
  6. Step 6: Final answer
    x = 40.73

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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.