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Finding the Fourth Proportional to 56.67, 84.90 and 44.64

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Solution

The fourth proportional to 56.67, 84.90 and 44.64 is: 66.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.67 : 84.90 = 44.64 : x
  2. Step 2: Convert to fraction form
    56.67/84.90 = 44.64/x
  3. Step 3: Cross multiply
    56.67x = 84.90 × 44.64
  4. Step 4: Simplify right side
    56.67x = 3,789.94
  5. Step 5: Solve for x
    x = 3,789.94/56.67
  6. Step 6: Final answer
    x = 66.88

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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.