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Finding the Fourth Proportional to 49.20, 67.96 and 30.84

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Solution

The fourth proportional to 49.20, 67.96 and 30.84 is: 42.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.20 : 67.96 = 30.84 : x
  2. Step 2: Convert to fraction form
    49.20/67.96 = 30.84/x
  3. Step 3: Cross multiply
    49.20x = 67.96 × 30.84
  4. Step 4: Simplify right side
    49.20x = 2,095.89
  5. Step 5: Solve for x
    x = 2,095.89/49.20
  6. Step 6: Final answer
    x = 42.60

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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.