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Finding the Fourth Proportional to 57.93, 86.91 and 30.84

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Solution

The fourth proportional to 57.93, 86.91 and 30.84 is: 46.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.93 : 86.91 = 30.84 : x
  2. Step 2: Convert to fraction form
    57.93/86.91 = 30.84/x
  3. Step 3: Cross multiply
    57.93x = 86.91 × 30.84
  4. Step 4: Simplify right side
    57.93x = 2,679.87
  5. Step 5: Solve for x
    x = 2,679.87/57.93
  6. Step 6: Final answer
    x = 46.26

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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.