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Finding the Fourth Proportional to 75.22, 112.75 and 31.91

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Solution

The fourth proportional to 75.22, 112.75 and 31.91 is: 47.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.22 : 112.75 = 31.91 : x
  2. Step 2: Convert to fraction form
    75.22/112.75 = 31.91/x
  3. Step 3: Cross multiply
    75.22x = 112.75 × 31.91
  4. Step 4: Simplify right side
    75.22x = 3,597.85
  5. Step 5: Solve for x
    x = 3,597.85/75.22
  6. Step 6: Final answer
    x = 47.83

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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.