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Finding the Fourth Proportional to 168.83, 233.02 and 103.40

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Solution

The fourth proportional to 168.83, 233.02 and 103.40 is: 142.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.83 : 233.02 = 103.40 : x
  2. Step 2: Convert to fraction form
    168.83/233.02 = 103.40/x
  3. Step 3: Cross multiply
    168.83x = 233.02 × 103.40
  4. Step 4: Simplify right side
    168.83x = 24,094.27
  5. Step 5: Solve for x
    x = 24,094.27/168.83
  6. Step 6: Final answer
    x = 142.71

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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.