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Finding the Fourth Proportional to 95.72, 131.83 and 78.20

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Solution

The fourth proportional to 95.72, 131.83 and 78.20 is: 107.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.72 : 131.83 = 78.20 : x
  2. Step 2: Convert to fraction form
    95.72/131.83 = 78.20/x
  3. Step 3: Cross multiply
    95.72x = 131.83 × 78.20
  4. Step 4: Simplify right side
    95.72x = 10,308.75
  5. Step 5: Solve for x
    x = 10,308.75/95.72
  6. Step 6: Final answer
    x = 107.70

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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.