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Finding the Fourth Proportional to 38.46, 53.13 and 38.09

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Solution

The fourth proportional to 38.46, 53.13 and 38.09 is: 52.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.46 : 53.13 = 38.09 : x
  2. Step 2: Convert to fraction form
    38.46/53.13 = 38.09/x
  3. Step 3: Cross multiply
    38.46x = 53.13 × 38.09
  4. Step 4: Simplify right side
    38.46x = 2,023.46
  5. Step 5: Solve for x
    x = 2,023.46/38.46
  6. Step 6: Final answer
    x = 52.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.