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Finding the Fourth Proportional to 126.06, 188.24 and 98.70

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Solution

The fourth proportional to 126.06, 188.24 and 98.70 is: 147.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.06 : 188.24 = 98.70 : x
  2. Step 2: Convert to fraction form
    126.06/188.24 = 98.70/x
  3. Step 3: Cross multiply
    126.06x = 188.24 × 98.70
  4. Step 4: Simplify right side
    126.06x = 18,578.35
  5. Step 5: Solve for x
    x = 18,578.35/126.06
  6. Step 6: Final answer
    x = 147.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.