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Finding the Fourth Proportional to 35.98, 54.05 and 35.83

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Solution

The fourth proportional to 35.98, 54.05 and 35.83 is: 53.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.98 : 54.05 = 35.83 : x
  2. Step 2: Convert to fraction form
    35.98/54.05 = 35.83/x
  3. Step 3: Cross multiply
    35.98x = 54.05 × 35.83
  4. Step 4: Simplify right side
    35.98x = 1,936.61
  5. Step 5: Solve for x
    x = 1,936.61/35.98
  6. Step 6: Final answer
    x = 53.82

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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.