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Finding the Fourth Proportional to 20.50, 28.15 and 19.46

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Solution

The fourth proportional to 20.50, 28.15 and 19.46 is: 26.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.50 : 28.15 = 19.46 : x
  2. Step 2: Convert to fraction form
    20.50/28.15 = 19.46/x
  3. Step 3: Cross multiply
    20.50x = 28.15 × 19.46
  4. Step 4: Simplify right side
    20.50x = 547.80
  5. Step 5: Solve for x
    x = 547.80/20.50
  6. Step 6: Final answer
    x = 26.72

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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.