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Finding the Fourth Proportional to 150.77, 208.07 and 92.59

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Solution

The fourth proportional to 150.77, 208.07 and 92.59 is: 127.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.77 : 208.07 = 92.59 : x
  2. Step 2: Convert to fraction form
    150.77/208.07 = 92.59/x
  3. Step 3: Cross multiply
    150.77x = 208.07 × 92.59
  4. Step 4: Simplify right side
    150.77x = 19,264.57
  5. Step 5: Solve for x
    x = 19,264.57/150.77
  6. Step 6: Final answer
    x = 127.77

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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.