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Finding the Fourth Proportional to 49.95, 68.74 and 42.09

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Solution

The fourth proportional to 49.95, 68.74 and 42.09 is: 57.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.95 : 68.74 = 42.09 : x
  2. Step 2: Convert to fraction form
    49.95/68.74 = 42.09/x
  3. Step 3: Cross multiply
    49.95x = 68.74 × 42.09
  4. Step 4: Simplify right side
    49.95x = 2,893.27
  5. Step 5: Solve for x
    x = 2,893.27/49.95
  6. Step 6: Final answer
    x = 57.92

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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.