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Finding the Fourth Proportional to 31.80, 47.70 and 23.80

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Solution

The fourth proportional to 31.80, 47.70 and 23.80 is: 35.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.80 : 47.70 = 23.80 : x
  2. Step 2: Convert to fraction form
    31.80/47.70 = 23.80/x
  3. Step 3: Cross multiply
    31.80x = 47.70 × 23.80
  4. Step 4: Simplify right side
    31.80x = 1,135.26
  5. Step 5: Solve for x
    x = 1,135.26/31.80
  6. Step 6: Final answer
    x = 35.70

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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.