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Finding the Fourth Proportional to 142.70, 213.84 and 70.43

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Solution

The fourth proportional to 142.70, 213.84 and 70.43 is: 105.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.70 : 213.84 = 70.43 : x
  2. Step 2: Convert to fraction form
    142.70/213.84 = 70.43/x
  3. Step 3: Cross multiply
    142.70x = 213.84 × 70.43
  4. Step 4: Simplify right side
    142.70x = 15,059.68
  5. Step 5: Solve for x
    x = 15,059.68/142.70
  6. Step 6: Final answer
    x = 105.54

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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.