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Finding the Fourth Proportional to 135.59, 203.41 and 54.43

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Solution

The fourth proportional to 135.59, 203.41 and 54.43 is: 81.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.59 : 203.41 = 54.43 : x
  2. Step 2: Convert to fraction form
    135.59/203.41 = 54.43/x
  3. Step 3: Cross multiply
    135.59x = 203.41 × 54.43
  4. Step 4: Simplify right side
    135.59x = 11,071.61
  5. Step 5: Solve for x
    x = 11,071.61/135.59
  6. Step 6: Final answer
    x = 81.66

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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.