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Finding the Fourth Proportional to 137.12, 205.62 and 68.57

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Solution

The fourth proportional to 137.12, 205.62 and 68.57 is: 102.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.12 : 205.62 = 68.57 : x
  2. Step 2: Convert to fraction form
    137.12/205.62 = 68.57/x
  3. Step 3: Cross multiply
    137.12x = 205.62 × 68.57
  4. Step 4: Simplify right side
    137.12x = 14,098.34
  5. Step 5: Solve for x
    x = 14,098.34/137.12
  6. Step 6: Final answer
    x = 102.82

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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.