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Finding the Fourth Proportional to 135.06, 186.30 and 98.28

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Solution

The fourth proportional to 135.06, 186.30 and 98.28 is: 135.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.06 : 186.30 = 98.28 : x
  2. Step 2: Convert to fraction form
    135.06/186.30 = 98.28/x
  3. Step 3: Cross multiply
    135.06x = 186.30 × 98.28
  4. Step 4: Simplify right side
    135.06x = 18,309.56
  5. Step 5: Solve for x
    x = 18,309.56/135.06
  6. Step 6: Final answer
    x = 135.57

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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.