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Finding the Fourth Proportional to 57.82, 86.63 and 30.74

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Solution

The fourth proportional to 57.82, 86.63 and 30.74 is: 46.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.82 : 86.63 = 30.74 : x
  2. Step 2: Convert to fraction form
    57.82/86.63 = 30.74/x
  3. Step 3: Cross multiply
    57.82x = 86.63 × 30.74
  4. Step 4: Simplify right side
    57.82x = 2,663.01
  5. Step 5: Solve for x
    x = 2,663.01/57.82
  6. Step 6: Final answer
    x = 46.06

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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.