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Finding the Fourth Proportional to 126.08, 188.16 and 122.84

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Solution

The fourth proportional to 126.08, 188.16 and 122.84 is: 183.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.08 : 188.16 = 122.84 : x
  2. Step 2: Convert to fraction form
    126.08/188.16 = 122.84/x
  3. Step 3: Cross multiply
    126.08x = 188.16 × 122.84
  4. Step 4: Simplify right side
    126.08x = 23,113.57
  5. Step 5: Solve for x
    x = 23,113.57/126.08
  6. Step 6: Final answer
    x = 183.32

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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.