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Finding the Fourth Proportional to 29.84, 41.12 and 27.60

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Solution

The fourth proportional to 29.84, 41.12 and 27.60 is: 38.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.84 : 41.12 = 27.60 : x
  2. Step 2: Convert to fraction form
    29.84/41.12 = 27.60/x
  3. Step 3: Cross multiply
    29.84x = 41.12 × 27.60
  4. Step 4: Simplify right side
    29.84x = 1,134.91
  5. Step 5: Solve for x
    x = 1,134.91/29.84
  6. Step 6: Final answer
    x = 38.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.