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Finding the Fourth Proportional to 30.05, 41.46 and 20.22

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Solution

The fourth proportional to 30.05, 41.46 and 20.22 is: 27.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.05 : 41.46 = 20.22 : x
  2. Step 2: Convert to fraction form
    30.05/41.46 = 20.22/x
  3. Step 3: Cross multiply
    30.05x = 41.46 × 20.22
  4. Step 4: Simplify right side
    30.05x = 838.20
  5. Step 5: Solve for x
    x = 838.20/30.05
  6. Step 6: Final answer
    x = 27.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.