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Finding the Fourth Proportional to 138.57, 207.72 and 92.67

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Solution

The fourth proportional to 138.57, 207.72 and 92.67 is: 138.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.57 : 207.72 = 92.67 : x
  2. Step 2: Convert to fraction form
    138.57/207.72 = 92.67/x
  3. Step 3: Cross multiply
    138.57x = 207.72 × 92.67
  4. Step 4: Simplify right side
    138.57x = 19,249.41
  5. Step 5: Solve for x
    x = 19,249.41/138.57
  6. Step 6: Final answer
    x = 138.91

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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.