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Finding the Fourth Proportional to 126.52, 188.82 and 123.28

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Solution

The fourth proportional to 126.52, 188.82 and 123.28 is: 183.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.52 : 188.82 = 123.28 : x
  2. Step 2: Convert to fraction form
    126.52/188.82 = 123.28/x
  3. Step 3: Cross multiply
    126.52x = 188.82 × 123.28
  4. Step 4: Simplify right side
    126.52x = 23,277.26
  5. Step 5: Solve for x
    x = 23,277.26/126.52
  6. Step 6: Final answer
    x = 183.98

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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.