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Finding the Fourth Proportional to 70.33, 105.50 and 53.21

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Solution

The fourth proportional to 70.33, 105.50 and 53.21 is: 79.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.33 : 105.50 = 53.21 : x
  2. Step 2: Convert to fraction form
    70.33/105.50 = 53.21/x
  3. Step 3: Cross multiply
    70.33x = 105.50 × 53.21
  4. Step 4: Simplify right side
    70.33x = 5,613.66
  5. Step 5: Solve for x
    x = 5,613.66/70.33
  6. Step 6: Final answer
    x = 79.82

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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.