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Finding the Fourth Proportional to 49.76, 68.66 and 27.92

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Solution

The fourth proportional to 49.76, 68.66 and 27.92 is: 38.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.76 : 68.66 = 27.92 : x
  2. Step 2: Convert to fraction form
    49.76/68.66 = 27.92/x
  3. Step 3: Cross multiply
    49.76x = 68.66 × 27.92
  4. Step 4: Simplify right side
    49.76x = 1,916.99
  5. Step 5: Solve for x
    x = 1,916.99/49.76
  6. Step 6: Final answer
    x = 38.52

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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.