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Finding the Fourth Proportional to 102.87, 140.94 and 100.44

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Solution

The fourth proportional to 102.87, 140.94 and 100.44 is: 137.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.87 : 140.94 = 100.44 : x
  2. Step 2: Convert to fraction form
    102.87/140.94 = 100.44/x
  3. Step 3: Cross multiply
    102.87x = 140.94 × 100.44
  4. Step 4: Simplify right side
    102.87x = 14,156.01
  5. Step 5: Solve for x
    x = 14,156.01/102.87
  6. Step 6: Final answer
    x = 137.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.