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Finding the Fourth Proportional to 29.54, 44.30 and 22.75

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Solution

The fourth proportional to 29.54, 44.30 and 22.75 is: 34.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.54 : 44.30 = 22.75 : x
  2. Step 2: Convert to fraction form
    29.54/44.30 = 22.75/x
  3. Step 3: Cross multiply
    29.54x = 44.30 × 22.75
  4. Step 4: Simplify right side
    29.54x = 1,007.77
  5. Step 5: Solve for x
    x = 1,007.77/29.54
  6. Step 6: Final answer
    x = 34.11

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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.