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Finding the Fourth Proportional to 70.46, 97.23 and 40.96

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Solution

The fourth proportional to 70.46, 97.23 and 40.96 is: 56.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.46 : 97.23 = 40.96 : x
  2. Step 2: Convert to fraction form
    70.46/97.23 = 40.96/x
  3. Step 3: Cross multiply
    70.46x = 97.23 × 40.96
  4. Step 4: Simplify right side
    70.46x = 3,982.05
  5. Step 5: Solve for x
    x = 3,982.05/70.46
  6. Step 6: Final answer
    x = 56.52

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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.