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Finding the Fourth Proportional to 92.23, 138.29 and 31.34

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Solution

The fourth proportional to 92.23, 138.29 and 31.34 is: 46.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.23 : 138.29 = 31.34 : x
  2. Step 2: Convert to fraction form
    92.23/138.29 = 31.34/x
  3. Step 3: Cross multiply
    92.23x = 138.29 × 31.34
  4. Step 4: Simplify right side
    92.23x = 4,334.20
  5. Step 5: Solve for x
    x = 4,334.20/92.23
  6. Step 6: Final answer
    x = 46.99

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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.