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Finding the Fourth Proportional to 170.14, 234.83 and 100.23

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Solution

The fourth proportional to 170.14, 234.83 and 100.23 is: 138.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.14 : 234.83 = 100.23 : x
  2. Step 2: Convert to fraction form
    170.14/234.83 = 100.23/x
  3. Step 3: Cross multiply
    170.14x = 234.83 × 100.23
  4. Step 4: Simplify right side
    170.14x = 23,537.01
  5. Step 5: Solve for x
    x = 23,537.01/170.14
  6. Step 6: Final answer
    x = 138.34

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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.