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Finding the Fourth Proportional to 28.98, 39.89 and 20.78

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Solution

The fourth proportional to 28.98, 39.89 and 20.78 is: 28.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.98 : 39.89 = 20.78 : x
  2. Step 2: Convert to fraction form
    28.98/39.89 = 20.78/x
  3. Step 3: Cross multiply
    28.98x = 39.89 × 20.78
  4. Step 4: Simplify right side
    28.98x = 828.61
  5. Step 5: Solve for x
    x = 828.61/28.98
  6. Step 6: Final answer
    x = 28.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.