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Finding the Fourth Proportional to 168.12, 252.12 and 114.06

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Solution

The fourth proportional to 168.12, 252.12 and 114.06 is: 171.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.12 : 252.12 = 114.06 : x
  2. Step 2: Convert to fraction form
    168.12/252.12 = 114.06/x
  3. Step 3: Cross multiply
    168.12x = 252.12 × 114.06
  4. Step 4: Simplify right side
    168.12x = 28,756.81
  5. Step 5: Solve for x
    x = 28,756.81/168.12
  6. Step 6: Final answer
    x = 171.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.