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Finding the Fourth Proportional to 128.07, 176.85 and 83.82

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Solution

The fourth proportional to 128.07, 176.85 and 83.82 is: 115.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.07 : 176.85 = 83.82 : x
  2. Step 2: Convert to fraction form
    128.07/176.85 = 83.82/x
  3. Step 3: Cross multiply
    128.07x = 176.85 × 83.82
  4. Step 4: Simplify right side
    128.07x = 14,824.23
  5. Step 5: Solve for x
    x = 14,824.23/128.07
  6. Step 6: Final answer
    x = 115.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.