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Finding the Fourth Proportional to 168.18, 252.19 and 52.64

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Solution

The fourth proportional to 168.18, 252.19 and 52.64 is: 78.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.18 : 252.19 = 52.64 : x
  2. Step 2: Convert to fraction form
    168.18/252.19 = 52.64/x
  3. Step 3: Cross multiply
    168.18x = 252.19 × 52.64
  4. Step 4: Simplify right side
    168.18x = 13,274.65
  5. Step 5: Solve for x
    x = 13,274.65/168.18
  6. Step 6: Final answer
    x = 78.93

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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.