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Finding the Fourth Proportional to 128.93, 192.67 and 116.78

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Solution

The fourth proportional to 128.93, 192.67 and 116.78 is: 174.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.93 : 192.67 = 116.78 : x
  2. Step 2: Convert to fraction form
    128.93/192.67 = 116.78/x
  3. Step 3: Cross multiply
    128.93x = 192.67 × 116.78
  4. Step 4: Simplify right side
    128.93x = 22,500.00
  5. Step 5: Solve for x
    x = 22,500.00/128.93
  6. Step 6: Final answer
    x = 174.51

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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.