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Finding the Fourth Proportional to 135.45, 186.84 and 91.80

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Solution

The fourth proportional to 135.45, 186.84 and 91.80 is: 126.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.45 : 186.84 = 91.80 : x
  2. Step 2: Convert to fraction form
    135.45/186.84 = 91.80/x
  3. Step 3: Cross multiply
    135.45x = 186.84 × 91.80
  4. Step 4: Simplify right side
    135.45x = 17,151.91
  5. Step 5: Solve for x
    x = 17,151.91/135.45
  6. Step 6: Final answer
    x = 126.63

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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.