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Finding the Fourth Proportional to 135.35, 186.82 and 86.25

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Solution

The fourth proportional to 135.35, 186.82 and 86.25 is: 119.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.35 : 186.82 = 86.25 : x
  2. Step 2: Convert to fraction form
    135.35/186.82 = 86.25/x
  3. Step 3: Cross multiply
    135.35x = 186.82 × 86.25
  4. Step 4: Simplify right side
    135.35x = 16,113.23
  5. Step 5: Solve for x
    x = 16,113.23/135.35
  6. Step 6: Final answer
    x = 119.05

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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.