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Finding the Fourth Proportional to 76.24, 105.17 and 49.69

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Solution

The fourth proportional to 76.24, 105.17 and 49.69 is: 68.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.24 : 105.17 = 49.69 : x
  2. Step 2: Convert to fraction form
    76.24/105.17 = 49.69/x
  3. Step 3: Cross multiply
    76.24x = 105.17 × 49.69
  4. Step 4: Simplify right side
    76.24x = 5,225.90
  5. Step 5: Solve for x
    x = 5,225.90/76.24
  6. Step 6: Final answer
    x = 68.55

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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.