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Finding the Fourth Proportional to 128.44, 193.75 and 128.17

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Solution

The fourth proportional to 128.44, 193.75 and 128.17 is: 193.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.44 : 193.75 = 128.17 : x
  2. Step 2: Convert to fraction form
    128.44/193.75 = 128.17/x
  3. Step 3: Cross multiply
    128.44x = 193.75 × 128.17
  4. Step 4: Simplify right side
    128.44x = 24,832.94
  5. Step 5: Solve for x
    x = 24,832.94/128.44
  6. Step 6: Final answer
    x = 193.34

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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.