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Finding the Fourth Proportional to 69.92, 96.51 and 42.31

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Solution

The fourth proportional to 69.92, 96.51 and 42.31 is: 58.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.92 : 96.51 = 42.31 : x
  2. Step 2: Convert to fraction form
    69.92/96.51 = 42.31/x
  3. Step 3: Cross multiply
    69.92x = 96.51 × 42.31
  4. Step 4: Simplify right side
    69.92x = 4,083.05
  5. Step 5: Solve for x
    x = 4,083.05/69.92
  6. Step 6: Final answer
    x = 58.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.