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Finding the Fourth Proportional to 24.74, 37.26 and 24.42

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Solution

The fourth proportional to 24.74, 37.26 and 24.42 is: 36.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.74 : 37.26 = 24.42 : x
  2. Step 2: Convert to fraction form
    24.74/37.26 = 24.42/x
  3. Step 3: Cross multiply
    24.74x = 37.26 × 24.42
  4. Step 4: Simplify right side
    24.74x = 909.93
  5. Step 5: Solve for x
    x = 909.93/24.74
  6. Step 6: Final answer
    x = 36.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.