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Finding the Fourth Proportional to 76.67, 105.99 and 58.49

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Solution

The fourth proportional to 76.67, 105.99 and 58.49 is: 80.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.67 : 105.99 = 58.49 : x
  2. Step 2: Convert to fraction form
    76.67/105.99 = 58.49/x
  3. Step 3: Cross multiply
    76.67x = 105.99 × 58.49
  4. Step 4: Simplify right side
    76.67x = 6,199.36
  5. Step 5: Solve for x
    x = 6,199.36/76.67
  6. Step 6: Final answer
    x = 80.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.