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Finding the Fourth Proportional to 31.46, 43.42 and 23.70

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Solution

The fourth proportional to 31.46, 43.42 and 23.70 is: 32.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.46 : 43.42 = 23.70 : x
  2. Step 2: Convert to fraction form
    31.46/43.42 = 23.70/x
  3. Step 3: Cross multiply
    31.46x = 43.42 × 23.70
  4. Step 4: Simplify right side
    31.46x = 1,029.05
  5. Step 5: Solve for x
    x = 1,029.05/31.46
  6. Step 6: Final answer
    x = 32.71

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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.