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Finding the Fourth Proportional to 27.54, 41.34 and 24.84

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Solution

The fourth proportional to 27.54, 41.34 and 24.84 is: 37.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.54 : 41.34 = 24.84 : x
  2. Step 2: Convert to fraction form
    27.54/41.34 = 24.84/x
  3. Step 3: Cross multiply
    27.54x = 41.34 × 24.84
  4. Step 4: Simplify right side
    27.54x = 1,026.89
  5. Step 5: Solve for x
    x = 1,026.89/27.54
  6. Step 6: Final answer
    x = 37.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.