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Finding the Fourth Proportional to 27.94, 42.10 and 22.90

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Solution

The fourth proportional to 27.94, 42.10 and 22.90 is: 34.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.94 : 42.10 = 22.90 : x
  2. Step 2: Convert to fraction form
    27.94/42.10 = 22.90/x
  3. Step 3: Cross multiply
    27.94x = 42.10 × 22.90
  4. Step 4: Simplify right side
    27.94x = 964.09
  5. Step 5: Solve for x
    x = 964.09/27.94
  6. Step 6: Final answer
    x = 34.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.