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Finding the Fourth Proportional to 74.20, 111.74 and 67.06

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Solution

The fourth proportional to 74.20, 111.74 and 67.06 is: 100.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.20 : 111.74 = 67.06 : x
  2. Step 2: Convert to fraction form
    74.20/111.74 = 67.06/x
  3. Step 3: Cross multiply
    74.20x = 111.74 × 67.06
  4. Step 4: Simplify right side
    74.20x = 7,493.28
  5. Step 5: Solve for x
    x = 7,493.28/74.20
  6. Step 6: Final answer
    x = 100.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.