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Finding the Fourth Proportional to 34.89, 52.12 and 25.84

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Solution

The fourth proportional to 34.89, 52.12 and 25.84 is: 38.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.89 : 52.12 = 25.84 : x
  2. Step 2: Convert to fraction form
    34.89/52.12 = 25.84/x
  3. Step 3: Cross multiply
    34.89x = 52.12 × 25.84
  4. Step 4: Simplify right side
    34.89x = 1,346.78
  5. Step 5: Solve for x
    x = 1,346.78/34.89
  6. Step 6: Final answer
    x = 38.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.