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Finding the Fourth Proportional to 24.74, 34.05 and 23.55

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Solution

The fourth proportional to 24.74, 34.05 and 23.55 is: 32.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.74 : 34.05 = 23.55 : x
  2. Step 2: Convert to fraction form
    24.74/34.05 = 23.55/x
  3. Step 3: Cross multiply
    24.74x = 34.05 × 23.55
  4. Step 4: Simplify right side
    24.74x = 801.93
  5. Step 5: Solve for x
    x = 801.93/24.74
  6. Step 6: Final answer
    x = 32.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.