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Finding the Fourth Proportional to 135.36, 186.83 and 80.13

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Solution

The fourth proportional to 135.36, 186.83 and 80.13 is: 110.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.36 : 186.83 = 80.13 : x
  2. Step 2: Convert to fraction form
    135.36/186.83 = 80.13/x
  3. Step 3: Cross multiply
    135.36x = 186.83 × 80.13
  4. Step 4: Simplify right side
    135.36x = 14,970.69
  5. Step 5: Solve for x
    x = 14,970.69/135.36
  6. Step 6: Final answer
    x = 110.60

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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.