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Finding the Fourth Proportional to 84.38, 127.22 and 83.30

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Solution

The fourth proportional to 84.38, 127.22 and 83.30 is: 125.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.38 : 127.22 = 83.30 : x
  2. Step 2: Convert to fraction form
    84.38/127.22 = 83.30/x
  3. Step 3: Cross multiply
    84.38x = 127.22 × 83.30
  4. Step 4: Simplify right side
    84.38x = 10,597.43
  5. Step 5: Solve for x
    x = 10,597.43/84.38
  6. Step 6: Final answer
    x = 125.59

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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.