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Finding the Fourth Proportional to 135.35, 186.57 and 105.80

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Solution

The fourth proportional to 135.35, 186.57 and 105.80 is: 145.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.35 : 186.57 = 105.80 : x
  2. Step 2: Convert to fraction form
    135.35/186.57 = 105.80/x
  3. Step 3: Cross multiply
    135.35x = 186.57 × 105.80
  4. Step 4: Simplify right side
    135.35x = 19,737.97
  5. Step 5: Solve for x
    x = 19,737.97/135.35
  6. Step 6: Final answer
    x = 145.83

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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.