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Finding the Fourth Proportional to 150.82, 208.14 and 85.33

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Solution

The fourth proportional to 150.82, 208.14 and 85.33 is: 117.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.82 : 208.14 = 85.33 : x
  2. Step 2: Convert to fraction form
    150.82/208.14 = 85.33/x
  3. Step 3: Cross multiply
    150.82x = 208.14 × 85.33
  4. Step 4: Simplify right side
    150.82x = 17,759.94
  5. Step 5: Solve for x
    x = 17,759.94/150.82
  6. Step 6: Final answer
    x = 117.76

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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.