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Finding the Fourth Proportional to 81.41, 122.01 and 38.01

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Solution

The fourth proportional to 81.41, 122.01 and 38.01 is: 56.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.41 : 122.01 = 38.01 : x
  2. Step 2: Convert to fraction form
    81.41/122.01 = 38.01/x
  3. Step 3: Cross multiply
    81.41x = 122.01 × 38.01
  4. Step 4: Simplify right side
    81.41x = 4,637.41
  5. Step 5: Solve for x
    x = 4,637.41/81.41
  6. Step 6: Final answer
    x = 56.97

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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.