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Finding the Fourth Proportional to 170.06, 234.57 and 120.85

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Solution

The fourth proportional to 170.06, 234.57 and 120.85 is: 166.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.06 : 234.57 = 120.85 : x
  2. Step 2: Convert to fraction form
    170.06/234.57 = 120.85/x
  3. Step 3: Cross multiply
    170.06x = 234.57 × 120.85
  4. Step 4: Simplify right side
    170.06x = 28,347.65
  5. Step 5: Solve for x
    x = 28,347.65/170.06
  6. Step 6: Final answer
    x = 166.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.