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Finding the Fourth Proportional to 74.84, 103.22 and 48.96

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Solution

The fourth proportional to 74.84, 103.22 and 48.96 is: 67.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.84 : 103.22 = 48.96 : x
  2. Step 2: Convert to fraction form
    74.84/103.22 = 48.96/x
  3. Step 3: Cross multiply
    74.84x = 103.22 × 48.96
  4. Step 4: Simplify right side
    74.84x = 5,053.65
  5. Step 5: Solve for x
    x = 5,053.65/74.84
  6. Step 6: Final answer
    x = 67.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.