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Finding the Fourth Proportional to 38.45, 57.65 and 23.98

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Solution

The fourth proportional to 38.45, 57.65 and 23.98 is: 35.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.45 : 57.65 = 23.98 : x
  2. Step 2: Convert to fraction form
    38.45/57.65 = 23.98/x
  3. Step 3: Cross multiply
    38.45x = 57.65 × 23.98
  4. Step 4: Simplify right side
    38.45x = 1,382.69
  5. Step 5: Solve for x
    x = 1,382.69/38.45
  6. Step 6: Final answer
    x = 35.96

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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.