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Finding the Fourth Proportional to 168.95, 253.22 and 120.75

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Solution

The fourth proportional to 168.95, 253.22 and 120.75 is: 180.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.95 : 253.22 = 120.75 : x
  2. Step 2: Convert to fraction form
    168.95/253.22 = 120.75/x
  3. Step 3: Cross multiply
    168.95x = 253.22 × 120.75
  4. Step 4: Simplify right side
    168.95x = 30,575.71
  5. Step 5: Solve for x
    x = 30,575.71/168.95
  6. Step 6: Final answer
    x = 180.98

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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.