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Finding the Fourth Proportional to 168.10, 252.09 and 65.35

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Solution

The fourth proportional to 168.10, 252.09 and 65.35 is: 98.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.10 : 252.09 = 65.35 : x
  2. Step 2: Convert to fraction form
    168.10/252.09 = 65.35/x
  3. Step 3: Cross multiply
    168.10x = 252.09 × 65.35
  4. Step 4: Simplify right side
    168.10x = 16,474.08
  5. Step 5: Solve for x
    x = 16,474.08/168.10
  6. Step 6: Final answer
    x = 98.00

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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.