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Finding the Fourth Proportional to 24.72, 37.10 and 19.05

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Solution

The fourth proportional to 24.72, 37.10 and 19.05 is: 28.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.72 : 37.10 = 19.05 : x
  2. Step 2: Convert to fraction form
    24.72/37.10 = 19.05/x
  3. Step 3: Cross multiply
    24.72x = 37.10 × 19.05
  4. Step 4: Simplify right side
    24.72x = 706.76
  5. Step 5: Solve for x
    x = 706.76/24.72
  6. Step 6: Final answer
    x = 28.59

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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.