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Finding the Fourth Proportional to 27.97, 41.80 and 22.84

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Solution

The fourth proportional to 27.97, 41.80 and 22.84 is: 34.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.97 : 41.80 = 22.84 : x
  2. Step 2: Convert to fraction form
    27.97/41.80 = 22.84/x
  3. Step 3: Cross multiply
    27.97x = 41.80 × 22.84
  4. Step 4: Simplify right side
    27.97x = 954.71
  5. Step 5: Solve for x
    x = 954.71/27.97
  6. Step 6: Final answer
    x = 34.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.