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Finding the Fourth Proportional to 95.31, 131.62 and 76.99

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Solution

The fourth proportional to 95.31, 131.62 and 76.99 is: 106.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.31 : 131.62 = 76.99 : x
  2. Step 2: Convert to fraction form
    95.31/131.62 = 76.99/x
  3. Step 3: Cross multiply
    95.31x = 131.62 × 76.99
  4. Step 4: Simplify right side
    95.31x = 10,133.42
  5. Step 5: Solve for x
    x = 10,133.42/95.31
  6. Step 6: Final answer
    x = 106.32

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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.