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Finding the Fourth Proportional to 25, 33.82 and 25

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Solution

The fourth proportional to 25, 33.82 and 25 is: 33.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25 : 33.82 = 25 : x
  2. Step 2: Convert to fraction form
    25/33.82 = 25/x
  3. Step 3: Cross multiply
    25x = 33.82 × 25
  4. Step 4: Simplify right side
    25x = 845.50
  5. Step 5: Solve for x
    x = 845.50/25
  6. Step 6: Final answer
    x = 33.82

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.