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Finding the Fourth Proportional to 77.80, 116.69 and 41.23

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Solution

The fourth proportional to 77.80, 116.69 and 41.23 is: 61.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.80 : 116.69 = 41.23 : x
  2. Step 2: Convert to fraction form
    77.80/116.69 = 41.23/x
  3. Step 3: Cross multiply
    77.80x = 116.69 × 41.23
  4. Step 4: Simplify right side
    77.80x = 4,811.13
  5. Step 5: Solve for x
    x = 4,811.13/77.80
  6. Step 6: Final answer
    x = 61.84

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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.