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Finding the Fourth Proportional to 15.25, 22.82 and 13.10

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Solution

The fourth proportional to 15.25, 22.82 and 13.10 is: 19.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.25 : 22.82 = 13.10 : x
  2. Step 2: Convert to fraction form
    15.25/22.82 = 13.10/x
  3. Step 3: Cross multiply
    15.25x = 22.82 × 13.10
  4. Step 4: Simplify right side
    15.25x = 298.94
  5. Step 5: Solve for x
    x = 298.94/15.25
  6. Step 6: Final answer
    x = 19.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.