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Finding the Fourth Proportional to 56.64, 84.99 and 22.43

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Solution

The fourth proportional to 56.64, 84.99 and 22.43 is: 33.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.64 : 84.99 = 22.43 : x
  2. Step 2: Convert to fraction form
    56.64/84.99 = 22.43/x
  3. Step 3: Cross multiply
    56.64x = 84.99 × 22.43
  4. Step 4: Simplify right side
    56.64x = 1,906.33
  5. Step 5: Solve for x
    x = 1,906.33/56.64
  6. Step 6: Final answer
    x = 33.66

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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.