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Finding the Fourth Proportional to 38.57, 57.83 and 24.10

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Solution

The fourth proportional to 38.57, 57.83 and 24.10 is: 36.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.57 : 57.83 = 24.10 : x
  2. Step 2: Convert to fraction form
    38.57/57.83 = 24.10/x
  3. Step 3: Cross multiply
    38.57x = 57.83 × 24.10
  4. Step 4: Simplify right side
    38.57x = 1,393.62
  5. Step 5: Solve for x
    x = 1,393.62/38.57
  6. Step 6: Final answer
    x = 36.13

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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.