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Finding the Fourth Proportional to 49.83, 74.75 and 22.74

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Solution

The fourth proportional to 49.83, 74.75 and 22.74 is: 34.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.83 : 74.75 = 22.74 : x
  2. Step 2: Convert to fraction form
    49.83/74.75 = 22.74/x
  3. Step 3: Cross multiply
    49.83x = 74.75 × 22.74
  4. Step 4: Simplify right side
    49.83x = 1,699.70
  5. Step 5: Solve for x
    x = 1,699.70/49.83
  6. Step 6: Final answer
    x = 34.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.