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Finding the Fourth Proportional to 34.13, 47.08 and 25.94

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Solution

The fourth proportional to 34.13, 47.08 and 25.94 is: 35.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.13 : 47.08 = 25.94 : x
  2. Step 2: Convert to fraction form
    34.13/47.08 = 25.94/x
  3. Step 3: Cross multiply
    34.13x = 47.08 × 25.94
  4. Step 4: Simplify right side
    34.13x = 1,220.95
  5. Step 5: Solve for x
    x = 1,220.95/34.13
  6. Step 6: Final answer
    x = 35.78

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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.