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Finding the Fourth Proportional to 135.74, 203.61 and 81.60

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Solution

The fourth proportional to 135.74, 203.61 and 81.60 is: 122.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.74 : 203.61 = 81.60 : x
  2. Step 2: Convert to fraction form
    135.74/203.61 = 81.60/x
  3. Step 3: Cross multiply
    135.74x = 203.61 × 81.60
  4. Step 4: Simplify right side
    135.74x = 16,614.58
  5. Step 5: Solve for x
    x = 16,614.58/135.74
  6. Step 6: Final answer
    x = 122.40

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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.