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Finding the Fourth Proportional to 135.87, 187.09 and 120.39

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Solution

The fourth proportional to 135.87, 187.09 and 120.39 is: 165.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.87 : 187.09 = 120.39 : x
  2. Step 2: Convert to fraction form
    135.87/187.09 = 120.39/x
  3. Step 3: Cross multiply
    135.87x = 187.09 × 120.39
  4. Step 4: Simplify right side
    135.87x = 22,523.46
  5. Step 5: Solve for x
    x = 22,523.46/135.87
  6. Step 6: Final answer
    x = 165.77

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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.