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Finding the Fourth Proportional to 71.35, 98.33 and 58.21

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Solution

The fourth proportional to 71.35, 98.33 and 58.21 is: 80.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.35 : 98.33 = 58.21 : x
  2. Step 2: Convert to fraction form
    71.35/98.33 = 58.21/x
  3. Step 3: Cross multiply
    71.35x = 98.33 × 58.21
  4. Step 4: Simplify right side
    71.35x = 5,723.25
  5. Step 5: Solve for x
    x = 5,723.25/71.35
  6. Step 6: Final answer
    x = 80.22

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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.