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Finding the Fourth Proportional to 31.80, 43.80 and 27.20

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Solution

The fourth proportional to 31.80, 43.80 and 27.20 is: 37.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.80 : 43.80 = 27.20 : x
  2. Step 2: Convert to fraction form
    31.80/43.80 = 27.20/x
  3. Step 3: Cross multiply
    31.80x = 43.80 × 27.20
  4. Step 4: Simplify right side
    31.80x = 1,191.36
  5. Step 5: Solve for x
    x = 1,191.36/31.80
  6. Step 6: Final answer
    x = 37.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.