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Finding the Fourth Proportional to 138.62, 192.83 and 135.98

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Solution

The fourth proportional to 138.62, 192.83 and 135.98 is: 189.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.62 : 192.83 = 135.98 : x
  2. Step 2: Convert to fraction form
    138.62/192.83 = 135.98/x
  3. Step 3: Cross multiply
    138.62x = 192.83 × 135.98
  4. Step 4: Simplify right side
    138.62x = 26,220.34
  5. Step 5: Solve for x
    x = 26,220.34/138.62
  6. Step 6: Final answer
    x = 189.15

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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.