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Finding the Fourth Proportional to 74.82, 112.32 and 69.42

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Solution

The fourth proportional to 74.82, 112.32 and 69.42 is: 104.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.82 : 112.32 = 69.42 : x
  2. Step 2: Convert to fraction form
    74.82/112.32 = 69.42/x
  3. Step 3: Cross multiply
    74.82x = 112.32 × 69.42
  4. Step 4: Simplify right side
    74.82x = 7,797.25
  5. Step 5: Solve for x
    x = 7,797.25/74.82
  6. Step 6: Final answer
    x = 104.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.