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Finding the Fourth Proportional to 86.82, 119.61 and 72.24

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Solution

The fourth proportional to 86.82, 119.61 and 72.24 is: 99.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.82 : 119.61 = 72.24 : x
  2. Step 2: Convert to fraction form
    86.82/119.61 = 72.24/x
  3. Step 3: Cross multiply
    86.82x = 119.61 × 72.24
  4. Step 4: Simplify right side
    86.82x = 8,640.63
  5. Step 5: Solve for x
    x = 8,640.63/86.82
  6. Step 6: Final answer
    x = 99.52

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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.