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Finding the Fourth Proportional to 76, 113.82 and 58

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Solution

The fourth proportional to 76, 113.82 and 58 is: 86.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76 : 113.82 = 58 : x
  2. Step 2: Convert to fraction form
    76/113.82 = 58/x
  3. Step 3: Cross multiply
    76x = 113.82 × 58
  4. Step 4: Simplify right side
    76x = 6,601.56
  5. Step 5: Solve for x
    x = 6,601.56/76
  6. Step 6: Final answer
    x = 86.86

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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.