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Finding the Fourth Proportional to 86.76, 129.42 and 82.80

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Solution

The fourth proportional to 86.76, 129.42 and 82.80 is: 123.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.76 : 129.42 = 82.80 : x
  2. Step 2: Convert to fraction form
    86.76/129.42 = 82.80/x
  3. Step 3: Cross multiply
    86.76x = 129.42 × 82.80
  4. Step 4: Simplify right side
    86.76x = 10,715.98
  5. Step 5: Solve for x
    x = 10,715.98/86.76
  6. Step 6: Final answer
    x = 123.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.