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Finding the Fourth Proportional to 57.25, 85.91 and 21.19

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Solution

The fourth proportional to 57.25, 85.91 and 21.19 is: 31.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.25 : 85.91 = 21.19 : x
  2. Step 2: Convert to fraction form
    57.25/85.91 = 21.19/x
  3. Step 3: Cross multiply
    57.25x = 85.91 × 21.19
  4. Step 4: Simplify right side
    57.25x = 1,820.43
  5. Step 5: Solve for x
    x = 1,820.43/57.25
  6. Step 6: Final answer
    x = 31.80

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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.