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Finding the Fourth Proportional to 25.06, 34.09 and 25.06

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Solution

The fourth proportional to 25.06, 34.09 and 25.06 is: 34.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.06 : 34.09 = 25.06 : x
  2. Step 2: Convert to fraction form
    25.06/34.09 = 25.06/x
  3. Step 3: Cross multiply
    25.06x = 34.09 × 25.06
  4. Step 4: Simplify right side
    25.06x = 854.30
  5. Step 5: Solve for x
    x = 854.30/25.06
  6. Step 6: Final answer
    x = 34.09

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.