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Finding the Fourth Proportional to 168.72, 253.10 and 96.42

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Solution

The fourth proportional to 168.72, 253.10 and 96.42 is: 144.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.72 : 253.10 = 96.42 : x
  2. Step 2: Convert to fraction form
    168.72/253.10 = 96.42/x
  3. Step 3: Cross multiply
    168.72x = 253.10 × 96.42
  4. Step 4: Simplify right side
    168.72x = 24,403.42
  5. Step 5: Solve for x
    x = 24,403.42/168.72
  6. Step 6: Final answer
    x = 144.64

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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.