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Finding the Fourth Proportional to 86.81, 119.81 and 72.23

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Solution

The fourth proportional to 86.81, 119.81 and 72.23 is: 99.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.81 : 119.81 = 72.23 : x
  2. Step 2: Convert to fraction form
    86.81/119.81 = 72.23/x
  3. Step 3: Cross multiply
    86.81x = 119.81 × 72.23
  4. Step 4: Simplify right side
    86.81x = 8,653.52
  5. Step 5: Solve for x
    x = 8,653.52/86.81
  6. Step 6: Final answer
    x = 99.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.