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Finding the Fourth Proportional to 168.34, 232.32 and 126.26

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Solution

The fourth proportional to 168.34, 232.32 and 126.26 is: 174.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.34 : 232.32 = 126.26 : x
  2. Step 2: Convert to fraction form
    168.34/232.32 = 126.26/x
  3. Step 3: Cross multiply
    168.34x = 232.32 × 126.26
  4. Step 4: Simplify right side
    168.34x = 29,330.93
  5. Step 5: Solve for x
    x = 29,330.93/168.34
  6. Step 6: Final answer
    x = 174.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.