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Finding the Fourth Proportional to 71.96, 108.03 and 65.84

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Solution

The fourth proportional to 71.96, 108.03 and 65.84 is: 98.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.96 : 108.03 = 65.84 : x
  2. Step 2: Convert to fraction form
    71.96/108.03 = 65.84/x
  3. Step 3: Cross multiply
    71.96x = 108.03 × 65.84
  4. Step 4: Simplify right side
    71.96x = 7,112.70
  5. Step 5: Solve for x
    x = 7,112.70/71.96
  6. Step 6: Final answer
    x = 98.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.