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Finding the Fourth Proportional to 135.26, 186.28 and 108.98

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Solution

The fourth proportional to 135.26, 186.28 and 108.98 is: 150.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.26 : 186.28 = 108.98 : x
  2. Step 2: Convert to fraction form
    135.26/186.28 = 108.98/x
  3. Step 3: Cross multiply
    135.26x = 186.28 × 108.98
  4. Step 4: Simplify right side
    135.26x = 20,300.79
  5. Step 5: Solve for x
    x = 20,300.79/135.26
  6. Step 6: Final answer
    x = 150.09

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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.