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Finding the Fourth Proportional to 126.40, 174.24 and 120.16

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Solution

The fourth proportional to 126.40, 174.24 and 120.16 is: 165.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.40 : 174.24 = 120.16 : x
  2. Step 2: Convert to fraction form
    126.40/174.24 = 120.16/x
  3. Step 3: Cross multiply
    126.40x = 174.24 × 120.16
  4. Step 4: Simplify right side
    126.40x = 20,936.68
  5. Step 5: Solve for x
    x = 20,936.68/126.40
  6. Step 6: Final answer
    x = 165.64

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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.