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Finding the Fourth Proportional to 138.10, 206.73 and 84.10

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Solution

The fourth proportional to 138.10, 206.73 and 84.10 is: 125.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.10 : 206.73 = 84.10 : x
  2. Step 2: Convert to fraction form
    138.10/206.73 = 84.10/x
  3. Step 3: Cross multiply
    138.10x = 206.73 × 84.10
  4. Step 4: Simplify right side
    138.10x = 17,385.99
  5. Step 5: Solve for x
    x = 17,385.99/138.10
  6. Step 6: Final answer
    x = 125.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.