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Finding the Fourth Proportional to 27.84, 41.78 and 13.59

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Solution

The fourth proportional to 27.84, 41.78 and 13.59 is: 20.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.84 : 41.78 = 13.59 : x
  2. Step 2: Convert to fraction form
    27.84/41.78 = 13.59/x
  3. Step 3: Cross multiply
    27.84x = 41.78 × 13.59
  4. Step 4: Simplify right side
    27.84x = 567.96
  5. Step 5: Solve for x
    x = 567.96/27.84
  6. Step 6: Final answer
    x = 20.40

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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.