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Finding the Fourth Proportional to 53.11, 73.29 and 29.80

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Solution

The fourth proportional to 53.11, 73.29 and 29.80 is: 41.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.11 : 73.29 = 29.80 : x
  2. Step 2: Convert to fraction form
    53.11/73.29 = 29.80/x
  3. Step 3: Cross multiply
    53.11x = 73.29 × 29.80
  4. Step 4: Simplify right side
    53.11x = 2,183.86
  5. Step 5: Solve for x
    x = 2,183.86/53.11
  6. Step 6: Final answer
    x = 41.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.