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Finding the Fourth Proportional to 84.07, 126 and 35.92

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Solution

The fourth proportional to 84.07, 126 and 35.92 is: 53.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.07 : 126 = 35.92 : x
  2. Step 2: Convert to fraction form
    84.07/126 = 35.92/x
  3. Step 3: Cross multiply
    84.07x = 126 × 35.92
  4. Step 4: Simplify right side
    84.07x = 4,525.92
  5. Step 5: Solve for x
    x = 4,525.92/84.07
  6. Step 6: Final answer
    x = 53.84

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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.