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Finding the Fourth Proportional to 86.54, 129.23 and 76.28

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Solution

The fourth proportional to 86.54, 129.23 and 76.28 is: 113.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.54 : 129.23 = 76.28 : x
  2. Step 2: Convert to fraction form
    86.54/129.23 = 76.28/x
  3. Step 3: Cross multiply
    86.54x = 129.23 × 76.28
  4. Step 4: Simplify right side
    86.54x = 9,856.92
  5. Step 5: Solve for x
    x = 9,856.92/86.54
  6. Step 6: Final answer
    x = 113.91

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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.