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Finding the Fourth Proportional to 74.20, 110.71 and 67.68

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Solution

The fourth proportional to 74.20, 110.71 and 67.68 is: 100.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.20 : 110.71 = 67.68 : x
  2. Step 2: Convert to fraction form
    74.20/110.71 = 67.68/x
  3. Step 3: Cross multiply
    74.20x = 110.71 × 67.68
  4. Step 4: Simplify right side
    74.20x = 7,492.85
  5. Step 5: Solve for x
    x = 7,492.85/74.20
  6. Step 6: Final answer
    x = 100.98

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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.