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Finding the Fourth Proportional to 134.26, 185.26 and 76.04

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Solution

The fourth proportional to 134.26, 185.26 and 76.04 is: 104.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.26 : 185.26 = 76.04 : x
  2. Step 2: Convert to fraction form
    134.26/185.26 = 76.04/x
  3. Step 3: Cross multiply
    134.26x = 185.26 × 76.04
  4. Step 4: Simplify right side
    134.26x = 14,087.17
  5. Step 5: Solve for x
    x = 14,087.17/134.26
  6. Step 6: Final answer
    x = 104.92

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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.