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Finding the Fourth Proportional to 49.65, 74.42 and 30.38

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Solution

The fourth proportional to 49.65, 74.42 and 30.38 is: 45.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.65 : 74.42 = 30.38 : x
  2. Step 2: Convert to fraction form
    49.65/74.42 = 30.38/x
  3. Step 3: Cross multiply
    49.65x = 74.42 × 30.38
  4. Step 4: Simplify right side
    49.65x = 2,260.47
  5. Step 5: Solve for x
    x = 2,260.47/49.65
  6. Step 6: Final answer
    x = 45.53

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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.