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Finding the Fourth Proportional to 24.93, 37.40 and 19.87

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Solution

The fourth proportional to 24.93, 37.40 and 19.87 is: 29.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.93 : 37.40 = 19.87 : x
  2. Step 2: Convert to fraction form
    24.93/37.40 = 19.87/x
  3. Step 3: Cross multiply
    24.93x = 37.40 × 19.87
  4. Step 4: Simplify right side
    24.93x = 743.09
  5. Step 5: Solve for x
    x = 743.09/24.93
  6. Step 6: Final answer
    x = 29.80

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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.