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Finding the Fourth Proportional to 76.98, 105.32 and 76.68

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Solution

The fourth proportional to 76.98, 105.32 and 76.68 is: 104.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.98 : 105.32 = 76.68 : x
  2. Step 2: Convert to fraction form
    76.98/105.32 = 76.68/x
  3. Step 3: Cross multiply
    76.98x = 105.32 × 76.68
  4. Step 4: Simplify right side
    76.98x = 8,075.70
  5. Step 5: Solve for x
    x = 8,075.70/76.98
  6. Step 6: Final answer
    x = 104.90

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.