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Finding the Fourth Proportional to 128.14, 176.90 and 83.95

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Solution

The fourth proportional to 128.14, 176.90 and 83.95 is: 115.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.14 : 176.90 = 83.95 : x
  2. Step 2: Convert to fraction form
    128.14/176.90 = 83.95/x
  3. Step 3: Cross multiply
    128.14x = 176.90 × 83.95
  4. Step 4: Simplify right side
    128.14x = 14,850.26
  5. Step 5: Solve for x
    x = 14,850.26/128.14
  6. Step 6: Final answer
    x = 115.89

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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.