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Finding the Fourth Proportional to 86.68, 129.94 and 38.56

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Solution

The fourth proportional to 86.68, 129.94 and 38.56 is: 57.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.68 : 129.94 = 38.56 : x
  2. Step 2: Convert to fraction form
    86.68/129.94 = 38.56/x
  3. Step 3: Cross multiply
    86.68x = 129.94 × 38.56
  4. Step 4: Simplify right side
    86.68x = 5,010.49
  5. Step 5: Solve for x
    x = 5,010.49/86.68
  6. Step 6: Final answer
    x = 57.80

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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.