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Finding the Fourth Proportional to 70.69, 105.43 and 66.73

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Solution

The fourth proportional to 70.69, 105.43 and 66.73 is: 99.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.69 : 105.43 = 66.73 : x
  2. Step 2: Convert to fraction form
    70.69/105.43 = 66.73/x
  3. Step 3: Cross multiply
    70.69x = 105.43 × 66.73
  4. Step 4: Simplify right side
    70.69x = 7,035.34
  5. Step 5: Solve for x
    x = 7,035.34/70.69
  6. Step 6: Final answer
    x = 99.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.