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Finding the Fourth Proportional to 135.25, 186.72 and 105.68

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Solution

The fourth proportional to 135.25, 186.72 and 105.68 is: 145.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.25 : 186.72 = 105.68 : x
  2. Step 2: Convert to fraction form
    135.25/186.72 = 105.68/x
  3. Step 3: Cross multiply
    135.25x = 186.72 × 105.68
  4. Step 4: Simplify right side
    135.25x = 19,732.57
  5. Step 5: Solve for x
    x = 19,732.57/135.25
  6. Step 6: Final answer
    x = 145.90

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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.