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Finding the Fourth Proportional to 170.92, 235.77 and 100.97

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Solution

The fourth proportional to 170.92, 235.77 and 100.97 is: 139.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.92 : 235.77 = 100.97 : x
  2. Step 2: Convert to fraction form
    170.92/235.77 = 100.97/x
  3. Step 3: Cross multiply
    170.92x = 235.77 × 100.97
  4. Step 4: Simplify right side
    170.92x = 23,805.97
  5. Step 5: Solve for x
    x = 23,805.97/170.92
  6. Step 6: Final answer
    x = 139.28

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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.