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Finding the Fourth Proportional to 31.43, 47.14 and 11.13

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Solution

The fourth proportional to 31.43, 47.14 and 11.13 is: 16.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.43 : 47.14 = 11.13 : x
  2. Step 2: Convert to fraction form
    31.43/47.14 = 11.13/x
  3. Step 3: Cross multiply
    31.43x = 47.14 × 11.13
  4. Step 4: Simplify right side
    31.43x = 524.64
  5. Step 5: Solve for x
    x = 524.64/31.43
  6. Step 6: Final answer
    x = 16.70

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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.