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Finding the Fourth Proportional to 128.41, 193.55 and 123.55

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Solution

The fourth proportional to 128.41, 193.55 and 123.55 is: 186.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.41 : 193.55 = 123.55 : x
  2. Step 2: Convert to fraction form
    128.41/193.55 = 123.55/x
  3. Step 3: Cross multiply
    128.41x = 193.55 × 123.55
  4. Step 4: Simplify right side
    128.41x = 23,912.00
  5. Step 5: Solve for x
    x = 23,912.00/128.41
  6. Step 6: Final answer
    x = 186.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.