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Finding the Fourth Proportional to 61.28, 91.85 and 34.25

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Solution

The fourth proportional to 61.28, 91.85 and 34.25 is: 51.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.28 : 91.85 = 34.25 : x
  2. Step 2: Convert to fraction form
    61.28/91.85 = 34.25/x
  3. Step 3: Cross multiply
    61.28x = 91.85 × 34.25
  4. Step 4: Simplify right side
    61.28x = 3,145.54
  5. Step 5: Solve for x
    x = 3,145.54/61.28
  6. Step 6: Final answer
    x = 51.33

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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.