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Finding the Fourth Proportional to 126.08, 174 and 76.96

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Solution

The fourth proportional to 126.08, 174 and 76.96 is: 106.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.08 : 174 = 76.96 : x
  2. Step 2: Convert to fraction form
    126.08/174 = 76.96/x
  3. Step 3: Cross multiply
    126.08x = 174 × 76.96
  4. Step 4: Simplify right side
    126.08x = 13,391.04
  5. Step 5: Solve for x
    x = 13,391.04/126.08
  6. Step 6: Final answer
    x = 106.21

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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.