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Finding the Fourth Proportional to 31.71, 47.80 and 30.34

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Solution

The fourth proportional to 31.71, 47.80 and 30.34 is: 45.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.71 : 47.80 = 30.34 : x
  2. Step 2: Convert to fraction form
    31.71/47.80 = 30.34/x
  3. Step 3: Cross multiply
    31.71x = 47.80 × 30.34
  4. Step 4: Simplify right side
    31.71x = 1,450.25
  5. Step 5: Solve for x
    x = 1,450.25/31.71
  6. Step 6: Final answer
    x = 45.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.