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Finding the Fourth Proportional to 31.49, 47.19 and 20.78

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Solution

The fourth proportional to 31.49, 47.19 and 20.78 is: 31.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.49 : 47.19 = 20.78 : x
  2. Step 2: Convert to fraction form
    31.49/47.19 = 20.78/x
  3. Step 3: Cross multiply
    31.49x = 47.19 × 20.78
  4. Step 4: Simplify right side
    31.49x = 980.61
  5. Step 5: Solve for x
    x = 980.61/31.49
  6. Step 6: Final answer
    x = 31.14

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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.