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Finding the Fourth Proportional to 98.93, 136.57 and 76.75

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Solution

The fourth proportional to 98.93, 136.57 and 76.75 is: 105.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.93 : 136.57 = 76.75 : x
  2. Step 2: Convert to fraction form
    98.93/136.57 = 76.75/x
  3. Step 3: Cross multiply
    98.93x = 136.57 × 76.75
  4. Step 4: Simplify right side
    98.93x = 10,481.75
  5. Step 5: Solve for x
    x = 10,481.75/98.93
  6. Step 6: Final answer
    x = 105.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.