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Finding the Fourth Proportional to 137.97, 207.21 and 69.63

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Solution

The fourth proportional to 137.97, 207.21 and 69.63 is: 104.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.97 : 207.21 = 69.63 : x
  2. Step 2: Convert to fraction form
    137.97/207.21 = 69.63/x
  3. Step 3: Cross multiply
    137.97x = 207.21 × 69.63
  4. Step 4: Simplify right side
    137.97x = 14,428.03
  5. Step 5: Solve for x
    x = 14,428.03/137.97
  6. Step 6: Final answer
    x = 104.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.