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Finding the Fourth Proportional to 61.84, 85.34 and 34.21

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Solution

The fourth proportional to 61.84, 85.34 and 34.21 is: 47.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.84 : 85.34 = 34.21 : x
  2. Step 2: Convert to fraction form
    61.84/85.34 = 34.21/x
  3. Step 3: Cross multiply
    61.84x = 85.34 × 34.21
  4. Step 4: Simplify right side
    61.84x = 2,919.27
  5. Step 5: Solve for x
    x = 2,919.27/61.84
  6. Step 6: Final answer
    x = 47.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.