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Finding the Fourth Proportional to 170.14, 234.72 and 107.98

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Solution

The fourth proportional to 170.14, 234.72 and 107.98 is: 148.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.14 : 234.72 = 107.98 : x
  2. Step 2: Convert to fraction form
    170.14/234.72 = 107.98/x
  3. Step 3: Cross multiply
    170.14x = 234.72 × 107.98
  4. Step 4: Simplify right side
    170.14x = 25,345.07
  5. Step 5: Solve for x
    x = 25,345.07/170.14
  6. Step 6: Final answer
    x = 148.97

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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.