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Finding the Fourth Proportional to 168.88, 253.12 and 110.92

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Solution

The fourth proportional to 168.88, 253.12 and 110.92 is: 166.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.88 : 253.12 = 110.92 : x
  2. Step 2: Convert to fraction form
    168.88/253.12 = 110.92/x
  3. Step 3: Cross multiply
    168.88x = 253.12 × 110.92
  4. Step 4: Simplify right side
    168.88x = 28,076.07
  5. Step 5: Solve for x
    x = 28,076.07/168.88
  6. Step 6: Final answer
    x = 166.25

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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.