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Finding the Fourth Proportional to 100.75, 150.86 and 75.09

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Solution

The fourth proportional to 100.75, 150.86 and 75.09 is: 112.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.75 : 150.86 = 75.09 : x
  2. Step 2: Convert to fraction form
    100.75/150.86 = 75.09/x
  3. Step 3: Cross multiply
    100.75x = 150.86 × 75.09
  4. Step 4: Simplify right side
    100.75x = 11,328.27
  5. Step 5: Solve for x
    x = 11,328.27/100.75
  6. Step 6: Final answer
    x = 112.44

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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.