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Finding the Fourth Proportional to 19.99, 30.00 and 7.80

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Solution

The fourth proportional to 19.99, 30.00 and 7.80 is: 11.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.99 : 30.00 = 7.80 : x
  2. Step 2: Convert to fraction form
    19.99/30.00 = 7.80/x
  3. Step 3: Cross multiply
    19.99x = 30.00 × 7.80
  4. Step 4: Simplify right side
    19.99x = 233.96
  5. Step 5: Solve for x
    x = 233.96/19.99
  6. Step 6: Final answer
    x = 11.71

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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.