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Finding the Fourth Proportional to 31.46, 43.41 and 17.64

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Solution

The fourth proportional to 31.46, 43.41 and 17.64 is: 24.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.46 : 43.41 = 17.64 : x
  2. Step 2: Convert to fraction form
    31.46/43.41 = 17.64/x
  3. Step 3: Cross multiply
    31.46x = 43.41 × 17.64
  4. Step 4: Simplify right side
    31.46x = 765.76
  5. Step 5: Solve for x
    x = 765.76/31.46
  6. Step 6: Final answer
    x = 24.34

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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.