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Finding the Fourth Proportional to 20.43, 30.72 and 19.01

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Solution

The fourth proportional to 20.43, 30.72 and 19.01 is: 28.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.43 : 30.72 = 19.01 : x
  2. Step 2: Convert to fraction form
    20.43/30.72 = 19.01/x
  3. Step 3: Cross multiply
    20.43x = 30.72 × 19.01
  4. Step 4: Simplify right side
    20.43x = 583.99
  5. Step 5: Solve for x
    x = 583.99/20.43
  6. Step 6: Final answer
    x = 28.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.