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Finding the Fourth Proportional to 20.50, 30.69 and 15.70

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Solution

The fourth proportional to 20.50, 30.69 and 15.70 is: 23.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.50 : 30.69 = 15.70 : x
  2. Step 2: Convert to fraction form
    20.50/30.69 = 15.70/x
  3. Step 3: Cross multiply
    20.50x = 30.69 × 15.70
  4. Step 4: Simplify right side
    20.50x = 481.83
  5. Step 5: Solve for x
    x = 481.83/20.50
  6. Step 6: Final answer
    x = 23.50

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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.