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Finding the Fourth Proportional to 44.76, 67.14 and 35.82

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Solution

The fourth proportional to 44.76, 67.14 and 35.82 is: 53.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.76 : 67.14 = 35.82 : x
  2. Step 2: Convert to fraction form
    44.76/67.14 = 35.82/x
  3. Step 3: Cross multiply
    44.76x = 67.14 × 35.82
  4. Step 4: Simplify right side
    44.76x = 2,404.95
  5. Step 5: Solve for x
    x = 2,404.95/44.76
  6. Step 6: Final answer
    x = 53.73

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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.