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Finding the Fourth Proportional to 29.88, 41.28 and 27.24

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Solution

The fourth proportional to 29.88, 41.28 and 27.24 is: 37.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.88 : 41.28 = 27.24 : x
  2. Step 2: Convert to fraction form
    29.88/41.28 = 27.24/x
  3. Step 3: Cross multiply
    29.88x = 41.28 × 27.24
  4. Step 4: Simplify right side
    29.88x = 1,124.47
  5. Step 5: Solve for x
    x = 1,124.47/29.88
  6. Step 6: Final answer
    x = 37.63

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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.