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Finding the Fourth Proportional to 68.21, 94.13 and 37.13

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Solution

The fourth proportional to 68.21, 94.13 and 37.13 is: 51.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.21 : 94.13 = 37.13 : x
  2. Step 2: Convert to fraction form
    68.21/94.13 = 37.13/x
  3. Step 3: Cross multiply
    68.21x = 94.13 × 37.13
  4. Step 4: Simplify right side
    68.21x = 3,494.81
  5. Step 5: Solve for x
    x = 3,494.81/68.21
  6. Step 6: Final answer
    x = 51.23

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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.