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Finding the Fourth Proportional to 68.23, 102.41 and 37.81

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Solution

The fourth proportional to 68.23, 102.41 and 37.81 is: 56.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.23 : 102.41 = 37.81 : x
  2. Step 2: Convert to fraction form
    68.23/102.41 = 37.81/x
  3. Step 3: Cross multiply
    68.23x = 102.41 × 37.81
  4. Step 4: Simplify right side
    68.23x = 3,872.12
  5. Step 5: Solve for x
    x = 3,872.12/68.23
  6. Step 6: Final answer
    x = 56.75

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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.