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Finding the Fourth Proportional to 150.92, 208.23 and 92.60

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Solution

The fourth proportional to 150.92, 208.23 and 92.60 is: 127.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.92 : 208.23 = 92.60 : x
  2. Step 2: Convert to fraction form
    150.92/208.23 = 92.60/x
  3. Step 3: Cross multiply
    150.92x = 208.23 × 92.60
  4. Step 4: Simplify right side
    150.92x = 19,282.10
  5. Step 5: Solve for x
    x = 19,282.10/150.92
  6. Step 6: Final answer
    x = 127.76

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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.