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Finding the Fourth Proportional to 27.02, 40.46 and 23.20

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Solution

The fourth proportional to 27.02, 40.46 and 23.20 is: 34.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.02 : 40.46 = 23.20 : x
  2. Step 2: Convert to fraction form
    27.02/40.46 = 23.20/x
  3. Step 3: Cross multiply
    27.02x = 40.46 × 23.20
  4. Step 4: Simplify right side
    27.02x = 938.45
  5. Step 5: Solve for x
    x = 938.45/27.02
  6. Step 6: Final answer
    x = 34.73

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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.