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Finding the Fourth Proportional to 138.10, 190.58 and 82.84

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Solution

The fourth proportional to 138.10, 190.58 and 82.84 is: 114.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.10 : 190.58 = 82.84 : x
  2. Step 2: Convert to fraction form
    138.10/190.58 = 82.84/x
  3. Step 3: Cross multiply
    138.10x = 190.58 × 82.84
  4. Step 4: Simplify right side
    138.10x = 15,787.65
  5. Step 5: Solve for x
    x = 15,787.65/138.10
  6. Step 6: Final answer
    x = 114.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.