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Finding the Fourth Proportional to 170.69, 235.59 and 100.75

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Solution

The fourth proportional to 170.69, 235.59 and 100.75 is: 139.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.69 : 235.59 = 100.75 : x
  2. Step 2: Convert to fraction form
    170.69/235.59 = 100.75/x
  3. Step 3: Cross multiply
    170.69x = 235.59 × 100.75
  4. Step 4: Simplify right side
    170.69x = 23,735.73
  5. Step 5: Solve for x
    x = 23,735.73/170.69
  6. Step 6: Final answer
    x = 139.06

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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.