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Finding the Fourth Proportional to 75.62, 113.37 and 31.67

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Solution

The fourth proportional to 75.62, 113.37 and 31.67 is: 47.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.62 : 113.37 = 31.67 : x
  2. Step 2: Convert to fraction form
    75.62/113.37 = 31.67/x
  3. Step 3: Cross multiply
    75.62x = 113.37 × 31.67
  4. Step 4: Simplify right side
    75.62x = 3,590.43
  5. Step 5: Solve for x
    x = 3,590.43/75.62
  6. Step 6: Final answer
    x = 47.48

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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.