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Finding the Fourth Proportional to 40.20, 55.46 and 22.94

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Solution

The fourth proportional to 40.20, 55.46 and 22.94 is: 31.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.20 : 55.46 = 22.94 : x
  2. Step 2: Convert to fraction form
    40.20/55.46 = 22.94/x
  3. Step 3: Cross multiply
    40.20x = 55.46 × 22.94
  4. Step 4: Simplify right side
    40.20x = 1,272.25
  5. Step 5: Solve for x
    x = 1,272.25/40.20
  6. Step 6: Final answer
    x = 31.65

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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.