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Finding the Fourth Proportional to 74.90, 103.42 and 48.68

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Solution

The fourth proportional to 74.90, 103.42 and 48.68 is: 67.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.90 : 103.42 = 48.68 : x
  2. Step 2: Convert to fraction form
    74.90/103.42 = 48.68/x
  3. Step 3: Cross multiply
    74.90x = 103.42 × 48.68
  4. Step 4: Simplify right side
    74.90x = 5,034.49
  5. Step 5: Solve for x
    x = 5,034.49/74.90
  6. Step 6: Final answer
    x = 67.22

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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.