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Finding the Fourth Proportional to 74.12, 111.78 and 67.64

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Solution

The fourth proportional to 74.12, 111.78 and 67.64 is: 102.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.12 : 111.78 = 67.64 : x
  2. Step 2: Convert to fraction form
    74.12/111.78 = 67.64/x
  3. Step 3: Cross multiply
    74.12x = 111.78 × 67.64
  4. Step 4: Simplify right side
    74.12x = 7,560.24
  5. Step 5: Solve for x
    x = 7,560.24/74.12
  6. Step 6: Final answer
    x = 102.01

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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.