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Finding the Fourth Proportional to 57.32, 86.00 and 21.25

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Solution

The fourth proportional to 57.32, 86.00 and 21.25 is: 31.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.32 : 86.00 = 21.25 : x
  2. Step 2: Convert to fraction form
    57.32/86.00 = 21.25/x
  3. Step 3: Cross multiply
    57.32x = 86.00 × 21.25
  4. Step 4: Simplify right side
    57.32x = 1,827.39
  5. Step 5: Solve for x
    x = 1,827.39/57.32
  6. Step 6: Final answer
    x = 31.88

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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.