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Finding the Fourth Proportional to 138.44, 192.77 and 138.44

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Solution

The fourth proportional to 138.44, 192.77 and 138.44 is: 192.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.44 : 192.77 = 138.44 : x
  2. Step 2: Convert to fraction form
    138.44/192.77 = 138.44/x
  3. Step 3: Cross multiply
    138.44x = 192.77 × 138.44
  4. Step 4: Simplify right side
    138.44x = 26,687.08
  5. Step 5: Solve for x
    x = 26,687.08/138.44
  6. Step 6: Final answer
    x = 192.77

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.