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Finding the Fourth Proportional to 75.42, 113.14 and 27.31

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Solution

The fourth proportional to 75.42, 113.14 and 27.31 is: 40.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.42 : 113.14 = 27.31 : x
  2. Step 2: Convert to fraction form
    75.42/113.14 = 27.31/x
  3. Step 3: Cross multiply
    75.42x = 113.14 × 27.31
  4. Step 4: Simplify right side
    75.42x = 3,089.85
  5. Step 5: Solve for x
    x = 3,089.85/75.42
  6. Step 6: Final answer
    x = 40.97

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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.