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Finding the Fourth Proportional to 77.98, 116.70 and 50.86

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Solution

The fourth proportional to 77.98, 116.70 and 50.86 is: 76.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.98 : 116.70 = 50.86 : x
  2. Step 2: Convert to fraction form
    77.98/116.70 = 50.86/x
  3. Step 3: Cross multiply
    77.98x = 116.70 × 50.86
  4. Step 4: Simplify right side
    77.98x = 5,935.36
  5. Step 5: Solve for x
    x = 5,935.36/77.98
  6. Step 6: Final answer
    x = 76.11

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