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Finding the Fourth Proportional to 95.57, 131.94 and 75.98

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Solution

The fourth proportional to 95.57, 131.94 and 75.98 is: 104.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.57 : 131.94 = 75.98 : x
  2. Step 2: Convert to fraction form
    95.57/131.94 = 75.98/x
  3. Step 3: Cross multiply
    95.57x = 131.94 × 75.98
  4. Step 4: Simplify right side
    95.57x = 10,024.80
  5. Step 5: Solve for x
    x = 10,024.80/95.57
  6. Step 6: Final answer
    x = 104.89

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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.