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Finding the Fourth Proportional to 95.34, 131.31 and 83.64

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Solution

The fourth proportional to 95.34, 131.31 and 83.64 is: 115.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.34 : 131.31 = 83.64 : x
  2. Step 2: Convert to fraction form
    95.34/131.31 = 83.64/x
  3. Step 3: Cross multiply
    95.34x = 131.31 × 83.64
  4. Step 4: Simplify right side
    95.34x = 10,982.77
  5. Step 5: Solve for x
    x = 10,982.77/95.34
  6. Step 6: Final answer
    x = 115.20

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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.