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Finding the Fourth Proportional to 74.38, 110.97 and 72.46

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Solution

The fourth proportional to 74.38, 110.97 and 72.46 is: 108.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.38 : 110.97 = 72.46 : x
  2. Step 2: Convert to fraction form
    74.38/110.97 = 72.46/x
  3. Step 3: Cross multiply
    74.38x = 110.97 × 72.46
  4. Step 4: Simplify right side
    74.38x = 8,040.89
  5. Step 5: Solve for x
    x = 8,040.89/74.38
  6. Step 6: Final answer
    x = 108.11

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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.