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Finding the Fourth Proportional to 142.22, 195.96 and 108.98

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Solution

The fourth proportional to 142.22, 195.96 and 108.98 is: 150.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.22 : 195.96 = 108.98 : x
  2. Step 2: Convert to fraction form
    142.22/195.96 = 108.98/x
  3. Step 3: Cross multiply
    142.22x = 195.96 × 108.98
  4. Step 4: Simplify right side
    142.22x = 21,355.72
  5. Step 5: Solve for x
    x = 21,355.72/142.22
  6. Step 6: Final answer
    x = 150.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.