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Finding the Fourth Proportional to 135.05, 186.23 and 85.88

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Solution

The fourth proportional to 135.05, 186.23 and 85.88 is: 118.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.05 : 186.23 = 85.88 : x
  2. Step 2: Convert to fraction form
    135.05/186.23 = 85.88/x
  3. Step 3: Cross multiply
    135.05x = 186.23 × 85.88
  4. Step 4: Simplify right side
    135.05x = 15,992.07
  5. Step 5: Solve for x
    x = 15,992.07/135.05
  6. Step 6: Final answer
    x = 118.42

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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.