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Finding the Fourth Proportional to 31.42, 47.13 and 23.83

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Solution

The fourth proportional to 31.42, 47.13 and 23.83 is: 35.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.42 : 47.13 = 23.83 : x
  2. Step 2: Convert to fraction form
    31.42/47.13 = 23.83/x
  3. Step 3: Cross multiply
    31.42x = 47.13 × 23.83
  4. Step 4: Simplify right side
    31.42x = 1,123.11
  5. Step 5: Solve for x
    x = 1,123.11/31.42
  6. Step 6: Final answer
    x = 35.75

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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.