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Finding the Fourth Proportional to 73.29, 109.97 and 34.75

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Solution

The fourth proportional to 73.29, 109.97 and 34.75 is: 52.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.29 : 109.97 = 34.75 : x
  2. Step 2: Convert to fraction form
    73.29/109.97 = 34.75/x
  3. Step 3: Cross multiply
    73.29x = 109.97 × 34.75
  4. Step 4: Simplify right side
    73.29x = 3,821.27
  5. Step 5: Solve for x
    x = 3,821.27/73.29
  6. Step 6: Final answer
    x = 52.14

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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.