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Finding the Fourth Proportional to 70.97, 106.33 and 53.83

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Solution

The fourth proportional to 70.97, 106.33 and 53.83 is: 80.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.97 : 106.33 = 53.83 : x
  2. Step 2: Convert to fraction form
    70.97/106.33 = 53.83/x
  3. Step 3: Cross multiply
    70.97x = 106.33 × 53.83
  4. Step 4: Simplify right side
    70.97x = 5,723.25
  5. Step 5: Solve for x
    x = 5,723.25/70.97
  6. Step 6: Final answer
    x = 80.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.