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Finding the Fourth Proportional to 20.03, 30.04 and 6.50

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Solution

The fourth proportional to 20.03, 30.04 and 6.50 is: 9.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.03 : 30.04 = 6.50 : x
  2. Step 2: Convert to fraction form
    20.03/30.04 = 6.50/x
  3. Step 3: Cross multiply
    20.03x = 30.04 × 6.50
  4. Step 4: Simplify right side
    20.03x = 195.09
  5. Step 5: Solve for x
    x = 195.09/20.03
  6. Step 6: Final answer
    x = 9.74

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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.