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Finding the Fourth Proportional to 77.82, 116.72 and 23.70

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Solution

The fourth proportional to 77.82, 116.72 and 23.70 is: 35.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.82 : 116.72 = 23.70 : x
  2. Step 2: Convert to fraction form
    77.82/116.72 = 23.70/x
  3. Step 3: Cross multiply
    77.82x = 116.72 × 23.70
  4. Step 4: Simplify right side
    77.82x = 2,766.26
  5. Step 5: Solve for x
    x = 2,766.26/77.82
  6. Step 6: Final answer
    x = 35.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.