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Finding the Fourth Proportional to 92.54, 138.68 and 73.27

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Solution

The fourth proportional to 92.54, 138.68 and 73.27 is: 109.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.54 : 138.68 = 73.27 : x
  2. Step 2: Convert to fraction form
    92.54/138.68 = 73.27/x
  3. Step 3: Cross multiply
    92.54x = 138.68 × 73.27
  4. Step 4: Simplify right side
    92.54x = 10,161.17
  5. Step 5: Solve for x
    x = 10,161.17/92.54
  6. Step 6: Final answer
    x = 109.80

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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.