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Finding the Fourth Proportional to 38.37, 57.45 and 28.71

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Solution

The fourth proportional to 38.37, 57.45 and 28.71 is: 42.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.37 : 57.45 = 28.71 : x
  2. Step 2: Convert to fraction form
    38.37/57.45 = 28.71/x
  3. Step 3: Cross multiply
    38.37x = 57.45 × 28.71
  4. Step 4: Simplify right side
    38.37x = 1,649.39
  5. Step 5: Solve for x
    x = 1,649.39/38.37
  6. Step 6: Final answer
    x = 42.99

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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.