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Finding the Fourth Proportional to 138.14, 207.26 and 92.58

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Solution

The fourth proportional to 138.14, 207.26 and 92.58 is: 138.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.14 : 207.26 = 92.58 : x
  2. Step 2: Convert to fraction form
    138.14/207.26 = 92.58/x
  3. Step 3: Cross multiply
    138.14x = 207.26 × 92.58
  4. Step 4: Simplify right side
    138.14x = 19,187.24
  5. Step 5: Solve for x
    x = 19,187.24/138.14
  6. Step 6: Final answer
    x = 138.90

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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.