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Finding the Fourth Proportional to 49.96, 74.41 and 48.25

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Solution

The fourth proportional to 49.96, 74.41 and 48.25 is: 71.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.96 : 74.41 = 48.25 : x
  2. Step 2: Convert to fraction form
    49.96/74.41 = 48.25/x
  3. Step 3: Cross multiply
    49.96x = 74.41 × 48.25
  4. Step 4: Simplify right side
    49.96x = 3,590.28
  5. Step 5: Solve for x
    x = 3,590.28/49.96
  6. Step 6: Final answer
    x = 71.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.