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Finding the Fourth Proportional to 72.54, 108.81 and 29.21

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Solution

The fourth proportional to 72.54, 108.81 and 29.21 is: 43.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.54 : 108.81 = 29.21 : x
  2. Step 2: Convert to fraction form
    72.54/108.81 = 29.21/x
  3. Step 3: Cross multiply
    72.54x = 108.81 × 29.21
  4. Step 4: Simplify right side
    72.54x = 3,177.80
  5. Step 5: Solve for x
    x = 3,177.80/72.54
  6. Step 6: Final answer
    x = 43.81

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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.