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Finding the Fourth Proportional to 128.91, 192.19 and 121.16

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Solution

The fourth proportional to 128.91, 192.19 and 121.16 is: 180.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.91 : 192.19 = 121.16 : x
  2. Step 2: Convert to fraction form
    128.91/192.19 = 121.16/x
  3. Step 3: Cross multiply
    128.91x = 192.19 × 121.16
  4. Step 4: Simplify right side
    128.91x = 23,285.92
  5. Step 5: Solve for x
    x = 23,285.92/128.91
  6. Step 6: Final answer
    x = 180.64

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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.