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Finding the Fourth Proportional to 135.80, 203.56 and 54.60

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Solution

The fourth proportional to 135.80, 203.56 and 54.60 is: 81.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.80 : 203.56 = 54.60 : x
  2. Step 2: Convert to fraction form
    135.80/203.56 = 54.60/x
  3. Step 3: Cross multiply
    135.80x = 203.56 × 54.60
  4. Step 4: Simplify right side
    135.80x = 11,114.38
  5. Step 5: Solve for x
    x = 11,114.38/135.80
  6. Step 6: Final answer
    x = 81.84

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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.