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Finding the Fourth Proportional to 134.50, 185.64 and 82.78

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Solution

The fourth proportional to 134.50, 185.64 and 82.78 is: 114.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.50 : 185.64 = 82.78 : x
  2. Step 2: Convert to fraction form
    134.50/185.64 = 82.78/x
  3. Step 3: Cross multiply
    134.50x = 185.64 × 82.78
  4. Step 4: Simplify right side
    134.50x = 15,367.28
  5. Step 5: Solve for x
    x = 15,367.28/134.50
  6. Step 6: Final answer
    x = 114.25

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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.