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Finding the Fourth Proportional to 49.12, 67.62 and 44.68

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Solution

The fourth proportional to 49.12, 67.62 and 44.68 is: 61.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.12 : 67.62 = 44.68 : x
  2. Step 2: Convert to fraction form
    49.12/67.62 = 44.68/x
  3. Step 3: Cross multiply
    49.12x = 67.62 × 44.68
  4. Step 4: Simplify right side
    49.12x = 3,021.26
  5. Step 5: Solve for x
    x = 3,021.26/49.12
  6. Step 6: Final answer
    x = 61.51

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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.