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Finding the Fourth Proportional to 168.84, 253.01 and 107.75

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Solution

The fourth proportional to 168.84, 253.01 and 107.75 is: 161.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.84 : 253.01 = 107.75 : x
  2. Step 2: Convert to fraction form
    168.84/253.01 = 107.75/x
  3. Step 3: Cross multiply
    168.84x = 253.01 × 107.75
  4. Step 4: Simplify right side
    168.84x = 27,260.02
  5. Step 5: Solve for x
    x = 27,260.02/168.84
  6. Step 6: Final answer
    x = 161.45

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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.