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Finding the Fourth Proportional to 92.31, 138.48 and 31.46

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Solution

The fourth proportional to 92.31, 138.48 and 31.46 is: 47.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.31 : 138.48 = 31.46 : x
  2. Step 2: Convert to fraction form
    92.31/138.48 = 31.46/x
  3. Step 3: Cross multiply
    92.31x = 138.48 × 31.46
  4. Step 4: Simplify right side
    92.31x = 4,355.77
  5. Step 5: Solve for x
    x = 4,355.77/92.31
  6. Step 6: Final answer
    x = 47.19

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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.