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Finding the Fourth Proportional to 76.93, 106.09 and 49.28

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Solution

The fourth proportional to 76.93, 106.09 and 49.28 is: 67.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.93 : 106.09 = 49.28 : x
  2. Step 2: Convert to fraction form
    76.93/106.09 = 49.28/x
  3. Step 3: Cross multiply
    76.93x = 106.09 × 49.28
  4. Step 4: Simplify right side
    76.93x = 5,227.46
  5. Step 5: Solve for x
    x = 5,227.46/76.93
  6. Step 6: Final answer
    x = 67.95

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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.