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Finding the Fourth Proportional to 49.57, 74.32 and 22.51

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Solution

The fourth proportional to 49.57, 74.32 and 22.51 is: 33.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.57 : 74.32 = 22.51 : x
  2. Step 2: Convert to fraction form
    49.57/74.32 = 22.51/x
  3. Step 3: Cross multiply
    49.57x = 74.32 × 22.51
  4. Step 4: Simplify right side
    49.57x = 1,672.94
  5. Step 5: Solve for x
    x = 1,672.94/49.57
  6. Step 6: Final answer
    x = 33.75

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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.