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Finding the Fourth Proportional to 57.57, 86.32 and 21.49

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Solution

The fourth proportional to 57.57, 86.32 and 21.49 is: 32.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.57 : 86.32 = 21.49 : x
  2. Step 2: Convert to fraction form
    57.57/86.32 = 21.49/x
  3. Step 3: Cross multiply
    57.57x = 86.32 × 21.49
  4. Step 4: Simplify right side
    57.57x = 1,855.02
  5. Step 5: Solve for x
    x = 1,855.02/57.57
  6. Step 6: Final answer
    x = 32.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.