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Finding the Fourth Proportional to 92.26, 138.05 and 75.10

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Solution

The fourth proportional to 92.26, 138.05 and 75.10 is: 112.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.26 : 138.05 = 75.10 : x
  2. Step 2: Convert to fraction form
    92.26/138.05 = 75.10/x
  3. Step 3: Cross multiply
    92.26x = 138.05 × 75.10
  4. Step 4: Simplify right side
    92.26x = 10,366.49
  5. Step 5: Solve for x
    x = 10,366.49/92.26
  6. Step 6: Final answer
    x = 112.37

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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.