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Finding the Fourth Proportional to 170.11, 234.73 and 121.21

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Solution

The fourth proportional to 170.11, 234.73 and 121.21 is: 167.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.11 : 234.73 = 121.21 : x
  2. Step 2: Convert to fraction form
    170.11/234.73 = 121.21/x
  3. Step 3: Cross multiply
    170.11x = 234.73 × 121.21
  4. Step 4: Simplify right side
    170.11x = 28,451.19
  5. Step 5: Solve for x
    x = 28,451.19/170.11
  6. Step 6: Final answer
    x = 167.25

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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.