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Finding the Fourth Proportional to 27.43, 41.29 and 25.30

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Solution

The fourth proportional to 27.43, 41.29 and 25.30 is: 38.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.43 : 41.29 = 25.30 : x
  2. Step 2: Convert to fraction form
    27.43/41.29 = 25.30/x
  3. Step 3: Cross multiply
    27.43x = 41.29 × 25.30
  4. Step 4: Simplify right side
    27.43x = 1,044.64
  5. Step 5: Solve for x
    x = 1,044.64/27.43
  6. Step 6: Final answer
    x = 38.08

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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.