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Finding the Fourth Proportional to 143.33, 214.86 and 107.42

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Solution

The fourth proportional to 143.33, 214.86 and 107.42 is: 161.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.33 : 214.86 = 107.42 : x
  2. Step 2: Convert to fraction form
    143.33/214.86 = 107.42/x
  3. Step 3: Cross multiply
    143.33x = 214.86 × 107.42
  4. Step 4: Simplify right side
    143.33x = 23,080.26
  5. Step 5: Solve for x
    x = 23,080.26/143.33
  6. Step 6: Final answer
    x = 161.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.