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Finding the Fourth Proportional to 135.26, 186.70 and 80.01

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Solution

The fourth proportional to 135.26, 186.70 and 80.01 is: 110.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.26 : 186.70 = 80.01 : x
  2. Step 2: Convert to fraction form
    135.26/186.70 = 80.01/x
  3. Step 3: Cross multiply
    135.26x = 186.70 × 80.01
  4. Step 4: Simplify right side
    135.26x = 14,937.87
  5. Step 5: Solve for x
    x = 14,937.87/135.26
  6. Step 6: Final answer
    x = 110.44

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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.