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Finding the Fourth Proportional to 134.49, 185.61 and 82.07

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Solution

The fourth proportional to 134.49, 185.61 and 82.07 is: 113.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.49 : 185.61 = 82.07 : x
  2. Step 2: Convert to fraction form
    134.49/185.61 = 82.07/x
  3. Step 3: Cross multiply
    134.49x = 185.61 × 82.07
  4. Step 4: Simplify right side
    134.49x = 15,233.72
  5. Step 5: Solve for x
    x = 15,233.72/134.49
  6. Step 6: Final answer
    x = 113.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.