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Finding the Fourth Proportional to 24.62, 36.62 and 23.74

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Solution

The fourth proportional to 24.62, 36.62 and 23.74 is: 35.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.62 : 36.62 = 23.74 : x
  2. Step 2: Convert to fraction form
    24.62/36.62 = 23.74/x
  3. Step 3: Cross multiply
    24.62x = 36.62 × 23.74
  4. Step 4: Simplify right side
    24.62x = 869.36
  5. Step 5: Solve for x
    x = 869.36/24.62
  6. Step 6: Final answer
    x = 35.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.