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Finding the Fourth Proportional to 84.96, 127.71 and 83.70

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Solution

The fourth proportional to 84.96, 127.71 and 83.70 is: 125.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.96 : 127.71 = 83.70 : x
  2. Step 2: Convert to fraction form
    84.96/127.71 = 83.70/x
  3. Step 3: Cross multiply
    84.96x = 127.71 × 83.70
  4. Step 4: Simplify right side
    84.96x = 10,689.33
  5. Step 5: Solve for x
    x = 10,689.33/84.96
  6. Step 6: Final answer
    x = 125.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.