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Finding the Fourth Proportional to 34.34, 47.24 and 30.72

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Solution

The fourth proportional to 34.34, 47.24 and 30.72 is: 42.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.34 : 47.24 = 30.72 : x
  2. Step 2: Convert to fraction form
    34.34/47.24 = 30.72/x
  3. Step 3: Cross multiply
    34.34x = 47.24 × 30.72
  4. Step 4: Simplify right side
    34.34x = 1,451.21
  5. Step 5: Solve for x
    x = 1,451.21/34.34
  6. Step 6: Final answer
    x = 42.26

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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.