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Finding the Fourth Proportional to 76.17, 104.97 and 58.65

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Solution

The fourth proportional to 76.17, 104.97 and 58.65 is: 80.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.17 : 104.97 = 58.65 : x
  2. Step 2: Convert to fraction form
    76.17/104.97 = 58.65/x
  3. Step 3: Cross multiply
    76.17x = 104.97 × 58.65
  4. Step 4: Simplify right side
    76.17x = 6,156.49
  5. Step 5: Solve for x
    x = 6,156.49/76.17
  6. Step 6: Final answer
    x = 80.83

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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.