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Finding the Fourth Proportional to 138.27, 208.22 and 100.02

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Solution

The fourth proportional to 138.27, 208.22 and 100.02 is: 150.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.27 : 208.22 = 100.02 : x
  2. Step 2: Convert to fraction form
    138.27/208.22 = 100.02/x
  3. Step 3: Cross multiply
    138.27x = 208.22 × 100.02
  4. Step 4: Simplify right side
    138.27x = 20,826.45
  5. Step 5: Solve for x
    x = 20,826.45/138.27
  6. Step 6: Final answer
    x = 150.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.