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Finding the Fourth Proportional to 75.31, 112.96 and 29.69

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Solution

The fourth proportional to 75.31, 112.96 and 29.69 is: 44.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.31 : 112.96 = 29.69 : x
  2. Step 2: Convert to fraction form
    75.31/112.96 = 29.69/x
  3. Step 3: Cross multiply
    75.31x = 112.96 × 29.69
  4. Step 4: Simplify right side
    75.31x = 3,353.99
  5. Step 5: Solve for x
    x = 3,353.99/75.31
  6. Step 6: Final answer
    x = 44.54

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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.