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Finding the Fourth Proportional to 92.42, 138.78 and 74.42

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Solution

The fourth proportional to 92.42, 138.78 and 74.42 is: 111.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.42 : 138.78 = 74.42 : x
  2. Step 2: Convert to fraction form
    92.42/138.78 = 74.42/x
  3. Step 3: Cross multiply
    92.42x = 138.78 × 74.42
  4. Step 4: Simplify right side
    92.42x = 10,328.01
  5. Step 5: Solve for x
    x = 10,328.01/92.42
  6. Step 6: Final answer
    x = 111.75

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