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Finding the Fourth Proportional to 29.97, 41.46 and 27.24

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Solution

The fourth proportional to 29.97, 41.46 and 27.24 is: 37.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.97 : 41.46 = 27.24 : x
  2. Step 2: Convert to fraction form
    29.97/41.46 = 27.24/x
  3. Step 3: Cross multiply
    29.97x = 41.46 × 27.24
  4. Step 4: Simplify right side
    29.97x = 1,129.27
  5. Step 5: Solve for x
    x = 1,129.27/29.97
  6. Step 6: Final answer
    x = 37.68

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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.