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Finding the Fourth Proportional to 70.82, 97.79 and 47.54

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Solution

The fourth proportional to 70.82, 97.79 and 47.54 is: 65.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.82 : 97.79 = 47.54 : x
  2. Step 2: Convert to fraction form
    70.82/97.79 = 47.54/x
  3. Step 3: Cross multiply
    70.82x = 97.79 × 47.54
  4. Step 4: Simplify right side
    70.82x = 4,648.94
  5. Step 5: Solve for x
    x = 4,648.94/70.82
  6. Step 6: Final answer
    x = 65.65

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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.