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Finding the Fourth Proportional to 30.80, 42.49 and 20.29

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Solution

The fourth proportional to 30.80, 42.49 and 20.29 is: 28.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.80 : 42.49 = 20.29 : x
  2. Step 2: Convert to fraction form
    30.80/42.49 = 20.29/x
  3. Step 3: Cross multiply
    30.80x = 42.49 × 20.29
  4. Step 4: Simplify right side
    30.80x = 862.24
  5. Step 5: Solve for x
    x = 862.24/30.80
  6. Step 6: Final answer
    x = 28.00

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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.