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Finding the Fourth Proportional to 49.65, 74.43 and 22.56

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Solution

The fourth proportional to 49.65, 74.43 and 22.56 is: 33.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.65 : 74.43 = 22.56 : x
  2. Step 2: Convert to fraction form
    49.65/74.43 = 22.56/x
  3. Step 3: Cross multiply
    49.65x = 74.43 × 22.56
  4. Step 4: Simplify right side
    49.65x = 1,679.14
  5. Step 5: Solve for x
    x = 1,679.14/49.65
  6. Step 6: Final answer
    x = 33.82

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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.