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Finding the Fourth Proportional to 135.88, 203.69 and 54.66

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Solution

The fourth proportional to 135.88, 203.69 and 54.66 is: 81.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.88 : 203.69 = 54.66 : x
  2. Step 2: Convert to fraction form
    135.88/203.69 = 54.66/x
  3. Step 3: Cross multiply
    135.88x = 203.69 × 54.66
  4. Step 4: Simplify right side
    135.88x = 11,133.42
  5. Step 5: Solve for x
    x = 11,133.42/135.88
  6. Step 6: Final answer
    x = 81.94

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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.