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Finding the Fourth Proportional to 122.52, 167.96 and 120.36

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Solution

The fourth proportional to 122.52, 167.96 and 120.36 is: 165.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.52 : 167.96 = 120.36 : x
  2. Step 2: Convert to fraction form
    122.52/167.96 = 120.36/x
  3. Step 3: Cross multiply
    122.52x = 167.96 × 120.36
  4. Step 4: Simplify right side
    122.52x = 20,215.67
  5. Step 5: Solve for x
    x = 20,215.67/122.52
  6. Step 6: Final answer
    x = 165.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.