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Finding the Fourth Proportional to 75, 112.38 and 44.63

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Solution

The fourth proportional to 75, 112.38 and 44.63 is: 66.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    75 : 112.38 = 44.63 : x
  2. Step 2: Convert to fraction form
    75/112.38 = 44.63/x
  3. Step 3: Cross multiply
    75x = 112.38 × 44.63
  4. Step 4: Simplify right side
    75x = 5,014.96
  5. Step 5: Solve for x
    x = 5,014.96/75
  6. Step 6: Final answer
    x = 66.87

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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.