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Finding the Fourth Proportional to 57.50, 86.23 and 34.71

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Solution

The fourth proportional to 57.50, 86.23 and 34.71 is: 52.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.50 : 86.23 = 34.71 : x
  2. Step 2: Convert to fraction form
    57.50/86.23 = 34.71/x
  3. Step 3: Cross multiply
    57.50x = 86.23 × 34.71
  4. Step 4: Simplify right side
    57.50x = 2,993.04
  5. Step 5: Solve for x
    x = 2,993.04/57.50
  6. Step 6: Final answer
    x = 52.05

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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.