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Finding the Fourth Proportional to 70.23, 96.92 and 45.73

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Solution

The fourth proportional to 70.23, 96.92 and 45.73 is: 63.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.23 : 96.92 = 45.73 : x
  2. Step 2: Convert to fraction form
    70.23/96.92 = 45.73/x
  3. Step 3: Cross multiply
    70.23x = 96.92 × 45.73
  4. Step 4: Simplify right side
    70.23x = 4,431.92
  5. Step 5: Solve for x
    x = 4,431.92/70.23
  6. Step 6: Final answer
    x = 63.11

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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.