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Finding the Fourth Proportional to 168.98, 253.63 and 83.54

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Solution

The fourth proportional to 168.98, 253.63 and 83.54 is: 125.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.98 : 253.63 = 83.54 : x
  2. Step 2: Convert to fraction form
    168.98/253.63 = 83.54/x
  3. Step 3: Cross multiply
    168.98x = 253.63 × 83.54
  4. Step 4: Simplify right side
    168.98x = 21,188.25
  5. Step 5: Solve for x
    x = 21,188.25/168.98
  6. Step 6: Final answer
    x = 125.39

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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.