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Finding the Fourth Proportional to 30.20, 45.18 and 27.92

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Solution

The fourth proportional to 30.20, 45.18 and 27.92 is: 41.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.20 : 45.18 = 27.92 : x
  2. Step 2: Convert to fraction form
    30.20/45.18 = 27.92/x
  3. Step 3: Cross multiply
    30.20x = 45.18 × 27.92
  4. Step 4: Simplify right side
    30.20x = 1,261.54
  5. Step 5: Solve for x
    x = 1,261.54/30.20
  6. Step 6: Final answer
    x = 41.78

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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.