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Finding the Fourth Proportional to 143.49, 214.94 and 105.05

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Solution

The fourth proportional to 143.49, 214.94 and 105.05 is: 157.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.49 : 214.94 = 105.05 : x
  2. Step 2: Convert to fraction form
    143.49/214.94 = 105.05/x
  3. Step 3: Cross multiply
    143.49x = 214.94 × 105.05
  4. Step 4: Simplify right side
    143.49x = 22,579.45
  5. Step 5: Solve for x
    x = 22,579.45/143.49
  6. Step 6: Final answer
    x = 157.36

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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.