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Finding the Fourth Proportional to 135.36, 186.60 and 100.42

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Solution

The fourth proportional to 135.36, 186.60 and 100.42 is: 138.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.36 : 186.60 = 100.42 : x
  2. Step 2: Convert to fraction form
    135.36/186.60 = 100.42/x
  3. Step 3: Cross multiply
    135.36x = 186.60 × 100.42
  4. Step 4: Simplify right side
    135.36x = 18,738.37
  5. Step 5: Solve for x
    x = 18,738.37/135.36
  6. Step 6: Final answer
    x = 138.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.