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Finding the Fourth Proportional to 137.24, 205.93 and 68.68

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Solution

The fourth proportional to 137.24, 205.93 and 68.68 is: 103.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.24 : 205.93 = 68.68 : x
  2. Step 2: Convert to fraction form
    137.24/205.93 = 68.68/x
  3. Step 3: Cross multiply
    137.24x = 205.93 × 68.68
  4. Step 4: Simplify right side
    137.24x = 14,143.27
  5. Step 5: Solve for x
    x = 14,143.27/137.24
  6. Step 6: Final answer
    x = 103.06

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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.