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Finding the Fourth Proportional to 27.30, 37.70 and 20.46

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Solution

The fourth proportional to 27.30, 37.70 and 20.46 is: 28.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.30 : 37.70 = 20.46 : x
  2. Step 2: Convert to fraction form
    27.30/37.70 = 20.46/x
  3. Step 3: Cross multiply
    27.30x = 37.70 × 20.46
  4. Step 4: Simplify right side
    27.30x = 771.24
  5. Step 5: Solve for x
    x = 771.24/27.30
  6. Step 6: Final answer
    x = 28.25

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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.