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Finding the Fourth Proportional to 86.23, 129 and 82.86

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Solution

The fourth proportional to 86.23, 129 and 82.86 is: 123.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.23 : 129 = 82.86 : x
  2. Step 2: Convert to fraction form
    86.23/129 = 82.86/x
  3. Step 3: Cross multiply
    86.23x = 129 × 82.86
  4. Step 4: Simplify right side
    86.23x = 10,688.94
  5. Step 5: Solve for x
    x = 10,688.94/86.23
  6. Step 6: Final answer
    x = 123.96

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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.