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Finding the Fourth Proportional to 71.31, 98.31 and 65.16

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Solution

The fourth proportional to 71.31, 98.31 and 65.16 is: 89.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.31 : 98.31 = 65.16 : x
  2. Step 2: Convert to fraction form
    71.31/98.31 = 65.16/x
  3. Step 3: Cross multiply
    71.31x = 98.31 × 65.16
  4. Step 4: Simplify right side
    71.31x = 6,405.88
  5. Step 5: Solve for x
    x = 6,405.88/71.31
  6. Step 6: Final answer
    x = 89.83

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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.