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Finding the Fourth Proportional to 27.68, 41.27 and 24.84

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Solution

The fourth proportional to 27.68, 41.27 and 24.84 is: 37.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.68 : 41.27 = 24.84 : x
  2. Step 2: Convert to fraction form
    27.68/41.27 = 24.84/x
  3. Step 3: Cross multiply
    27.68x = 41.27 × 24.84
  4. Step 4: Simplify right side
    27.68x = 1,025.02
  5. Step 5: Solve for x
    x = 1,025.02/27.68
  6. Step 6: Final answer
    x = 37.04

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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.