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Finding the Fourth Proportional to 168.34, 253.02 and 107.86

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Solution

The fourth proportional to 168.34, 253.02 and 107.86 is: 162.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.34 : 253.02 = 107.86 : x
  2. Step 2: Convert to fraction form
    168.34/253.02 = 107.86/x
  3. Step 3: Cross multiply
    168.34x = 253.02 × 107.86
  4. Step 4: Simplify right side
    168.34x = 27,290.74
  5. Step 5: Solve for x
    x = 27,290.74/168.34
  6. Step 6: Final answer
    x = 162.12

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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.