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Finding the Fourth Proportional to 74.67, 103.19 and 67.38

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Solution

The fourth proportional to 74.67, 103.19 and 67.38 is: 93.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.67 : 103.19 = 67.38 : x
  2. Step 2: Convert to fraction form
    74.67/103.19 = 67.38/x
  3. Step 3: Cross multiply
    74.67x = 103.19 × 67.38
  4. Step 4: Simplify right side
    74.67x = 6,952.61
  5. Step 5: Solve for x
    x = 6,952.61/74.67
  6. Step 6: Final answer
    x = 93.11

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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.