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Finding the Fourth Proportional to 70.97, 97.96 and 45.11

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Solution

The fourth proportional to 70.97, 97.96 and 45.11 is: 62.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.97 : 97.96 = 45.11 : x
  2. Step 2: Convert to fraction form
    70.97/97.96 = 45.11/x
  3. Step 3: Cross multiply
    70.97x = 97.96 × 45.11
  4. Step 4: Simplify right side
    70.97x = 4,418.98
  5. Step 5: Solve for x
    x = 4,418.98/70.97
  6. Step 6: Final answer
    x = 62.27

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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.