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Finding the Fourth Proportional to 84, 126 and 35.91

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Solution

The fourth proportional to 84, 126 and 35.91 is: 53.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    84 : 126 = 35.91 : x
  2. Step 2: Convert to fraction form
    84/126 = 35.91/x
  3. Step 3: Cross multiply
    84x = 126 × 35.91
  4. Step 4: Simplify right side
    84x = 4,524.66
  5. Step 5: Solve for x
    x = 4,524.66/84
  6. Step 6: Final answer
    x = 53.87

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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.