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Finding the Fourth Proportional to 137.64, 206.41 and 68.23

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Solution

The fourth proportional to 137.64, 206.41 and 68.23 is: 102.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.64 : 206.41 = 68.23 : x
  2. Step 2: Convert to fraction form
    137.64/206.41 = 68.23/x
  3. Step 3: Cross multiply
    137.64x = 206.41 × 68.23
  4. Step 4: Simplify right side
    137.64x = 14,083.35
  5. Step 5: Solve for x
    x = 14,083.35/137.64
  6. Step 6: Final answer
    x = 102.32

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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.