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Finding the Fourth Proportional to 134.71, 185.95 and 82.26

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Solution

The fourth proportional to 134.71, 185.95 and 82.26 is: 113.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.71 : 185.95 = 82.26 : x
  2. Step 2: Convert to fraction form
    134.71/185.95 = 82.26/x
  3. Step 3: Cross multiply
    134.71x = 185.95 × 82.26
  4. Step 4: Simplify right side
    134.71x = 15,294.91
  5. Step 5: Solve for x
    x = 15,294.91/134.71
  6. Step 6: Final answer
    x = 113.54

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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.