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Finding the Fourth Proportional to 134.79, 185.97 and 82.28

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Solution

The fourth proportional to 134.79, 185.97 and 82.28 is: 113.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.79 : 185.97 = 82.28 : x
  2. Step 2: Convert to fraction form
    134.79/185.97 = 82.28/x
  3. Step 3: Cross multiply
    134.79x = 185.97 × 82.28
  4. Step 4: Simplify right side
    134.79x = 15,301.37
  5. Step 5: Solve for x
    x = 15,301.37/134.79
  6. Step 6: Final answer
    x = 113.52

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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.