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Finding the Fourth Proportional to 57.17, 85.76 and 21.09

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Solution

The fourth proportional to 57.17, 85.76 and 21.09 is: 31.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.17 : 85.76 = 21.09 : x
  2. Step 2: Convert to fraction form
    57.17/85.76 = 21.09/x
  3. Step 3: Cross multiply
    57.17x = 85.76 × 21.09
  4. Step 4: Simplify right side
    57.17x = 1,808.97
  5. Step 5: Solve for x
    x = 1,808.97/57.17
  6. Step 6: Final answer
    x = 31.64

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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.