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Finding the Fourth Proportional to 29.57, 44.24 and 22.77

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Solution

The fourth proportional to 29.57, 44.24 and 22.77 is: 34.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.57 : 44.24 = 22.77 : x
  2. Step 2: Convert to fraction form
    29.57/44.24 = 22.77/x
  3. Step 3: Cross multiply
    29.57x = 44.24 × 22.77
  4. Step 4: Simplify right side
    29.57x = 1,007.23
  5. Step 5: Solve for x
    x = 1,007.23/29.57
  6. Step 6: Final answer
    x = 34.07

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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.