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Finding the Fourth Proportional to 168.50, 232.63 and 113.54

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Solution

The fourth proportional to 168.50, 232.63 and 113.54 is: 156.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.50 : 232.63 = 113.54 : x
  2. Step 2: Convert to fraction form
    168.50/232.63 = 113.54/x
  3. Step 3: Cross multiply
    168.50x = 232.63 × 113.54
  4. Step 4: Simplify right side
    168.50x = 26,411.36
  5. Step 5: Solve for x
    x = 26,411.36/168.50
  6. Step 6: Final answer
    x = 156.74

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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.