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Finding the Fourth Proportional to 57.24, 85.74 and 34.34

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Solution

The fourth proportional to 57.24, 85.74 and 34.34 is: 51.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.24 : 85.74 = 34.34 : x
  2. Step 2: Convert to fraction form
    57.24/85.74 = 34.34/x
  3. Step 3: Cross multiply
    57.24x = 85.74 × 34.34
  4. Step 4: Simplify right side
    57.24x = 2,944.31
  5. Step 5: Solve for x
    x = 2,944.31/57.24
  6. Step 6: Final answer
    x = 51.44

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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.