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Finding the Fourth Proportional to 75.08, 111.82 and 74.14

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Solution

The fourth proportional to 75.08, 111.82 and 74.14 is: 110.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.08 : 111.82 = 74.14 : x
  2. Step 2: Convert to fraction form
    75.08/111.82 = 74.14/x
  3. Step 3: Cross multiply
    75.08x = 111.82 × 74.14
  4. Step 4: Simplify right side
    75.08x = 8,290.33
  5. Step 5: Solve for x
    x = 8,290.33/75.08
  6. Step 6: Final answer
    x = 110.42

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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.