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Finding the Fourth Proportional to 31.57, 47.17 and 20.06

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Solution

The fourth proportional to 31.57, 47.17 and 20.06 is: 29.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.57 : 47.17 = 20.06 : x
  2. Step 2: Convert to fraction form
    31.57/47.17 = 20.06/x
  3. Step 3: Cross multiply
    31.57x = 47.17 × 20.06
  4. Step 4: Simplify right side
    31.57x = 946.13
  5. Step 5: Solve for x
    x = 946.13/31.57
  6. Step 6: Final answer
    x = 29.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.