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Finding the Fourth Proportional to 15.15, 20.78 and 15.09

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Solution

The fourth proportional to 15.15, 20.78 and 15.09 is: 20.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.15 : 20.78 = 15.09 : x
  2. Step 2: Convert to fraction form
    15.15/20.78 = 15.09/x
  3. Step 3: Cross multiply
    15.15x = 20.78 × 15.09
  4. Step 4: Simplify right side
    15.15x = 313.49
  5. Step 5: Solve for x
    x = 313.49/15.15
  6. Step 6: Final answer
    x = 20.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.