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Finding the Fourth Proportional to 138.06, 206.55 and 92.02

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Solution

The fourth proportional to 138.06, 206.55 and 92.02 is: 137.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.06 : 206.55 = 92.02 : x
  2. Step 2: Convert to fraction form
    138.06/206.55 = 92.02/x
  3. Step 3: Cross multiply
    138.06x = 206.55 × 92.02
  4. Step 4: Simplify right side
    138.06x = 19,006.73
  5. Step 5: Solve for x
    x = 19,006.73/138.06
  6. Step 6: Final answer
    x = 137.67

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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.