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Finding the Fourth Proportional to 126.21, 188.15 and 123.78

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Solution

The fourth proportional to 126.21, 188.15 and 123.78 is: 184.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.21 : 188.15 = 123.78 : x
  2. Step 2: Convert to fraction form
    126.21/188.15 = 123.78/x
  3. Step 3: Cross multiply
    126.21x = 188.15 × 123.78
  4. Step 4: Simplify right side
    126.21x = 23,288.59
  5. Step 5: Solve for x
    x = 23,288.59/126.21
  6. Step 6: Final answer
    x = 184.52

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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.