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Finding the Fourth Proportional to 24.88, 37.28 and 19.16

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Solution

The fourth proportional to 24.88, 37.28 and 19.16 is: 28.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.88 : 37.28 = 19.16 : x
  2. Step 2: Convert to fraction form
    24.88/37.28 = 19.16/x
  3. Step 3: Cross multiply
    24.88x = 37.28 × 19.16
  4. Step 4: Simplify right side
    24.88x = 714.28
  5. Step 5: Solve for x
    x = 714.28/24.88
  6. Step 6: Final answer
    x = 28.71

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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.