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Finding the Fourth Proportional to 126.20, 188.98 and 69.08

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Solution

The fourth proportional to 126.20, 188.98 and 69.08 is: 103.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.20 : 188.98 = 69.08 : x
  2. Step 2: Convert to fraction form
    126.20/188.98 = 69.08/x
  3. Step 3: Cross multiply
    126.20x = 188.98 × 69.08
  4. Step 4: Simplify right side
    126.20x = 13,054.74
  5. Step 5: Solve for x
    x = 13,054.74/126.20
  6. Step 6: Final answer
    x = 103.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.