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Finding the Fourth Proportional to 143.09, 214.61 and 40.37

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Solution

The fourth proportional to 143.09, 214.61 and 40.37 is: 60.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.09 : 214.61 = 40.37 : x
  2. Step 2: Convert to fraction form
    143.09/214.61 = 40.37/x
  3. Step 3: Cross multiply
    143.09x = 214.61 × 40.37
  4. Step 4: Simplify right side
    143.09x = 8,664.14
  5. Step 5: Solve for x
    x = 8,664.14/143.09
  6. Step 6: Final answer
    x = 60.55

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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.