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Finding the Fourth Proportional to 126.70, 174.70 and 80.01

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Solution

The fourth proportional to 126.70, 174.70 and 80.01 is: 110.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.70 : 174.70 = 80.01 : x
  2. Step 2: Convert to fraction form
    126.70/174.70 = 80.01/x
  3. Step 3: Cross multiply
    126.70x = 174.70 × 80.01
  4. Step 4: Simplify right side
    126.70x = 13,977.75
  5. Step 5: Solve for x
    x = 13,977.75/126.70
  6. Step 6: Final answer
    x = 110.32

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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.