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Finding the Fourth Proportional to 57.68, 86.36 and 30.57

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Solution

The fourth proportional to 57.68, 86.36 and 30.57 is: 45.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.68 : 86.36 = 30.57 : x
  2. Step 2: Convert to fraction form
    57.68/86.36 = 30.57/x
  3. Step 3: Cross multiply
    57.68x = 86.36 × 30.57
  4. Step 4: Simplify right side
    57.68x = 2,639.87
  5. Step 5: Solve for x
    x = 2,639.87/57.68
  6. Step 6: Final answer
    x = 45.77

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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.