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Finding the Fourth Proportional to 38.37, 57.64 and 37.80

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Solution

The fourth proportional to 38.37, 57.64 and 37.80 is: 56.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.37 : 57.64 = 37.80 : x
  2. Step 2: Convert to fraction form
    38.37/57.64 = 37.80/x
  3. Step 3: Cross multiply
    38.37x = 57.64 × 37.80
  4. Step 4: Simplify right side
    38.37x = 2,178.70
  5. Step 5: Solve for x
    x = 2,178.70/38.37
  6. Step 6: Final answer
    x = 56.78

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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.