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Finding the Fourth Proportional to 128.07, 190.76 and 121.23

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Solution

The fourth proportional to 128.07, 190.76 and 121.23 is: 180.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.07 : 190.76 = 121.23 : x
  2. Step 2: Convert to fraction form
    128.07/190.76 = 121.23/x
  3. Step 3: Cross multiply
    128.07x = 190.76 × 121.23
  4. Step 4: Simplify right side
    128.07x = 23,125.23
  5. Step 5: Solve for x
    x = 23,125.23/128.07
  6. Step 6: Final answer
    x = 180.57

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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.