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Finding the Fourth Proportional to 57.65, 86.31 and 34.71

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Solution

The fourth proportional to 57.65, 86.31 and 34.71 is: 51.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.65 : 86.31 = 34.71 : x
  2. Step 2: Convert to fraction form
    57.65/86.31 = 34.71/x
  3. Step 3: Cross multiply
    57.65x = 86.31 × 34.71
  4. Step 4: Simplify right side
    57.65x = 2,995.82
  5. Step 5: Solve for x
    x = 2,995.82/57.65
  6. Step 6: Final answer
    x = 51.97

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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.