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Finding the Fourth Proportional to 31.57, 47.34 and 10.19

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Solution

The fourth proportional to 31.57, 47.34 and 10.19 is: 15.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.57 : 47.34 = 10.19 : x
  2. Step 2: Convert to fraction form
    31.57/47.34 = 10.19/x
  3. Step 3: Cross multiply
    31.57x = 47.34 × 10.19
  4. Step 4: Simplify right side
    31.57x = 482.39
  5. Step 5: Solve for x
    x = 482.39/31.57
  6. Step 6: Final answer
    x = 15.28

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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.