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Finding the Fourth Proportional to 138.58, 207.93 and 84.43

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Solution

The fourth proportional to 138.58, 207.93 and 84.43 is: 126.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.58 : 207.93 = 84.43 : x
  2. Step 2: Convert to fraction form
    138.58/207.93 = 84.43/x
  3. Step 3: Cross multiply
    138.58x = 207.93 × 84.43
  4. Step 4: Simplify right side
    138.58x = 17,555.53
  5. Step 5: Solve for x
    x = 17,555.53/138.58
  6. Step 6: Final answer
    x = 126.68

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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.