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Finding the Fourth Proportional to 95.83, 132.25 and 71.33

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Solution

The fourth proportional to 95.83, 132.25 and 71.33 is: 98.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.83 : 132.25 = 71.33 : x
  2. Step 2: Convert to fraction form
    95.83/132.25 = 71.33/x
  3. Step 3: Cross multiply
    95.83x = 132.25 × 71.33
  4. Step 4: Simplify right side
    95.83x = 9,433.54
  5. Step 5: Solve for x
    x = 9,433.54/95.83
  6. Step 6: Final answer
    x = 98.44

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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.