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Finding the Fourth Proportional to 61.28, 91.78 and 33.82

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Solution

The fourth proportional to 61.28, 91.78 and 33.82 is: 50.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.28 : 91.78 = 33.82 : x
  2. Step 2: Convert to fraction form
    61.28/91.78 = 33.82/x
  3. Step 3: Cross multiply
    61.28x = 91.78 × 33.82
  4. Step 4: Simplify right side
    61.28x = 3,103.60
  5. Step 5: Solve for x
    x = 3,103.60/61.28
  6. Step 6: Final answer
    x = 50.64

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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.