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Finding the Fourth Proportional to 38.81, 53.09 and 38.66

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Solution

The fourth proportional to 38.81, 53.09 and 38.66 is: 52.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.81 : 53.09 = 38.66 : x
  2. Step 2: Convert to fraction form
    38.81/53.09 = 38.66/x
  3. Step 3: Cross multiply
    38.81x = 53.09 × 38.66
  4. Step 4: Simplify right side
    38.81x = 2,052.00
  5. Step 5: Solve for x
    x = 2,052.00/38.81
  6. Step 6: Final answer
    x = 52.88

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.