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Finding the Fourth Proportional to 31.80, 47.70 and 11.49

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Solution

The fourth proportional to 31.80, 47.70 and 11.49 is: 17.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.80 : 47.70 = 11.49 : x
  2. Step 2: Convert to fraction form
    31.80/47.70 = 11.49/x
  3. Step 3: Cross multiply
    31.80x = 47.70 × 11.49
  4. Step 4: Simplify right side
    31.80x = 548.07
  5. Step 5: Solve for x
    x = 548.07/31.80
  6. Step 6: Final answer
    x = 17.24

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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.