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Finding the Fourth Proportional to 61.97, 85.52 and 34.34

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Solution

The fourth proportional to 61.97, 85.52 and 34.34 is: 47.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.97 : 85.52 = 34.34 : x
  2. Step 2: Convert to fraction form
    61.97/85.52 = 34.34/x
  3. Step 3: Cross multiply
    61.97x = 85.52 × 34.34
  4. Step 4: Simplify right side
    61.97x = 2,936.29
  5. Step 5: Solve for x
    x = 2,936.29/61.97
  6. Step 6: Final answer
    x = 47.38

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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.