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Finding the Fourth Proportional to 75.21, 112.82 and 27.12

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Solution

The fourth proportional to 75.21, 112.82 and 27.12 is: 40.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.21 : 112.82 = 27.12 : x
  2. Step 2: Convert to fraction form
    75.21/112.82 = 27.12/x
  3. Step 3: Cross multiply
    75.21x = 112.82 × 27.12
  4. Step 4: Simplify right side
    75.21x = 3,059.68
  5. Step 5: Solve for x
    x = 3,059.68/75.21
  6. Step 6: Final answer
    x = 40.68

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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.