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Finding the Fourth Proportional to 92.12, 138.02 and 61.69

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Solution

The fourth proportional to 92.12, 138.02 and 61.69 is: 92.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.12 : 138.02 = 61.69 : x
  2. Step 2: Convert to fraction form
    92.12/138.02 = 61.69/x
  3. Step 3: Cross multiply
    92.12x = 138.02 × 61.69
  4. Step 4: Simplify right side
    92.12x = 8,514.45
  5. Step 5: Solve for x
    x = 8,514.45/92.12
  6. Step 6: Final answer
    x = 92.43

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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.