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Finding the Fourth Proportional to 30.43, 42.00 and 20.08

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Solution

The fourth proportional to 30.43, 42.00 and 20.08 is: 27.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.43 : 42.00 = 20.08 : x
  2. Step 2: Convert to fraction form
    30.43/42.00 = 20.08/x
  3. Step 3: Cross multiply
    30.43x = 42.00 × 20.08
  4. Step 4: Simplify right side
    30.43x = 843.33
  5. Step 5: Solve for x
    x = 843.33/30.43
  6. Step 6: Final answer
    x = 27.71

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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.