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Finding the Fourth Proportional to 126.02, 173.94 and 120.08

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Solution

The fourth proportional to 126.02, 173.94 and 120.08 is: 165.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.02 : 173.94 = 120.08 : x
  2. Step 2: Convert to fraction form
    126.02/173.94 = 120.08/x
  3. Step 3: Cross multiply
    126.02x = 173.94 × 120.08
  4. Step 4: Simplify right side
    126.02x = 20,886.72
  5. Step 5: Solve for x
    x = 20,886.72/126.02
  6. Step 6: Final answer
    x = 165.74

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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.