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Finding the Fourth Proportional to 71.89, 107.32 and 65.82

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Solution

The fourth proportional to 71.89, 107.32 and 65.82 is: 98.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.89 : 107.32 = 65.82 : x
  2. Step 2: Convert to fraction form
    71.89/107.32 = 65.82/x
  3. Step 3: Cross multiply
    71.89x = 107.32 × 65.82
  4. Step 4: Simplify right side
    71.89x = 7,063.28
  5. Step 5: Solve for x
    x = 7,063.28/71.89
  6. Step 6: Final answer
    x = 98.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.