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Finding the Fourth Proportional to 128.32, 192.38 and 121.16

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Solution

The fourth proportional to 128.32, 192.38 and 121.16 is: 181.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.32 : 192.38 = 121.16 : x
  2. Step 2: Convert to fraction form
    128.32/192.38 = 121.16/x
  3. Step 3: Cross multiply
    128.32x = 192.38 × 121.16
  4. Step 4: Simplify right side
    128.32x = 23,308.64
  5. Step 5: Solve for x
    x = 23,308.64/128.32
  6. Step 6: Final answer
    x = 181.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.