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Finding the Fourth Proportional to 135.97, 204.10 and 54.83

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Solution

The fourth proportional to 135.97, 204.10 and 54.83 is: 82.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.97 : 204.10 = 54.83 : x
  2. Step 2: Convert to fraction form
    135.97/204.10 = 54.83/x
  3. Step 3: Cross multiply
    135.97x = 204.10 × 54.83
  4. Step 4: Simplify right side
    135.97x = 11,191.18
  5. Step 5: Solve for x
    x = 11,191.18/135.97
  6. Step 6: Final answer
    x = 82.31

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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.