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Finding the Fourth Proportional to 138.13, 207.06 and 92.41

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Solution

The fourth proportional to 138.13, 207.06 and 92.41 is: 138.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.13 : 207.06 = 92.41 : x
  2. Step 2: Convert to fraction form
    138.13/207.06 = 92.41/x
  3. Step 3: Cross multiply
    138.13x = 207.06 × 92.41
  4. Step 4: Simplify right side
    138.13x = 19,134.41
  5. Step 5: Solve for x
    x = 19,134.41/138.13
  6. Step 6: Final answer
    x = 138.52

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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.