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Finding the Fourth Proportional to 143.44, 214.58 and 109.30

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Solution

The fourth proportional to 143.44, 214.58 and 109.30 is: 163.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.44 : 214.58 = 109.30 : x
  2. Step 2: Convert to fraction form
    143.44/214.58 = 109.30/x
  3. Step 3: Cross multiply
    143.44x = 214.58 × 109.30
  4. Step 4: Simplify right side
    143.44x = 23,453.59
  5. Step 5: Solve for x
    x = 23,453.59/143.44
  6. Step 6: Final answer
    x = 163.51

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Why These Related Problems?

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