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Finding the Fourth Proportional to 49.68, 74.51 and 22.63

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Solution

The fourth proportional to 49.68, 74.51 and 22.63 is: 33.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.68 : 74.51 = 22.63 : x
  2. Step 2: Convert to fraction form
    49.68/74.51 = 22.63/x
  3. Step 3: Cross multiply
    49.68x = 74.51 × 22.63
  4. Step 4: Simplify right side
    49.68x = 1,685.79
  5. Step 5: Solve for x
    x = 1,685.79/49.68
  6. Step 6: Final answer
    x = 33.93

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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.