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Finding the Fourth Proportional to 92.23, 138.39 and 65.05

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Solution

The fourth proportional to 92.23, 138.39 and 65.05 is: 97.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.23 : 138.39 = 65.05 : x
  2. Step 2: Convert to fraction form
    92.23/138.39 = 65.05/x
  3. Step 3: Cross multiply
    92.23x = 138.39 × 65.05
  4. Step 4: Simplify right side
    92.23x = 9,002.27
  5. Step 5: Solve for x
    x = 9,002.27/92.23
  6. Step 6: Final answer
    x = 97.61

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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.