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Finding the Fourth Proportional to 34.97, 47.93 and 34.91

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Solution

The fourth proportional to 34.97, 47.93 and 34.91 is: 47.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.97 : 47.93 = 34.91 : x
  2. Step 2: Convert to fraction form
    34.97/47.93 = 34.91/x
  3. Step 3: Cross multiply
    34.97x = 47.93 × 34.91
  4. Step 4: Simplify right side
    34.97x = 1,673.44
  5. Step 5: Solve for x
    x = 1,673.44/34.97
  6. Step 6: Final answer
    x = 47.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.