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Finding the Fourth Proportional to 150.75, 208.04 and 81.75

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Solution

The fourth proportional to 150.75, 208.04 and 81.75 is: 112.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.75 : 208.04 = 81.75 : x
  2. Step 2: Convert to fraction form
    150.75/208.04 = 81.75/x
  3. Step 3: Cross multiply
    150.75x = 208.04 × 81.75
  4. Step 4: Simplify right side
    150.75x = 17,006.86
  5. Step 5: Solve for x
    x = 17,006.86/150.75
  6. Step 6: Final answer
    x = 112.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.