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Finding the Fourth Proportional to 38.57, 57.83 and 16.91

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Solution

The fourth proportional to 38.57, 57.83 and 16.91 is: 25.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.57 : 57.83 = 16.91 : x
  2. Step 2: Convert to fraction form
    38.57/57.83 = 16.91/x
  3. Step 3: Cross multiply
    38.57x = 57.83 × 16.91
  4. Step 4: Simplify right side
    38.57x = 977.66
  5. Step 5: Solve for x
    x = 977.66/38.57
  6. Step 6: Final answer
    x = 25.35

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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.