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Finding the Fourth Proportional to 61.05, 91.41 and 50.74

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Solution

The fourth proportional to 61.05, 91.41 and 50.74 is: 75.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.05 : 91.41 = 50.74 : x
  2. Step 2: Convert to fraction form
    61.05/91.41 = 50.74/x
  3. Step 3: Cross multiply
    61.05x = 91.41 × 50.74
  4. Step 4: Simplify right side
    61.05x = 4,638.14
  5. Step 5: Solve for x
    x = 4,638.14/61.05
  6. Step 6: Final answer
    x = 75.97

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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.