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Finding the Fourth Proportional to 73.14, 109.75 and 29.80

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Solution

The fourth proportional to 73.14, 109.75 and 29.80 is: 44.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.14 : 109.75 = 29.80 : x
  2. Step 2: Convert to fraction form
    73.14/109.75 = 29.80/x
  3. Step 3: Cross multiply
    73.14x = 109.75 × 29.80
  4. Step 4: Simplify right side
    73.14x = 3,270.28
  5. Step 5: Solve for x
    x = 3,270.28/73.14
  6. Step 6: Final answer
    x = 44.71

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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.