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Finding the Fourth Proportional to 27.84, 41.84 and 13.60

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Solution

The fourth proportional to 27.84, 41.84 and 13.60 is: 20.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.84 : 41.84 = 13.60 : x
  2. Step 2: Convert to fraction form
    27.84/41.84 = 13.60/x
  3. Step 3: Cross multiply
    27.84x = 41.84 × 13.60
  4. Step 4: Simplify right side
    27.84x = 569.02
  5. Step 5: Solve for x
    x = 569.02/27.84
  6. Step 6: Final answer
    x = 20.44

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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.