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Finding the Fourth Proportional to 138.01, 206.73 and 69.52

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Solution

The fourth proportional to 138.01, 206.73 and 69.52 is: 104.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.01 : 206.73 = 69.52 : x
  2. Step 2: Convert to fraction form
    138.01/206.73 = 69.52/x
  3. Step 3: Cross multiply
    138.01x = 206.73 × 69.52
  4. Step 4: Simplify right side
    138.01x = 14,371.87
  5. Step 5: Solve for x
    x = 14,371.87/138.01
  6. Step 6: Final answer
    x = 104.14

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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.