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Finding the Fourth Proportional to 24.62, 36.95 and 9.42

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Solution

The fourth proportional to 24.62, 36.95 and 9.42 is: 14.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.62 : 36.95 = 9.42 : x
  2. Step 2: Convert to fraction form
    24.62/36.95 = 9.42/x
  3. Step 3: Cross multiply
    24.62x = 36.95 × 9.42
  4. Step 4: Simplify right side
    24.62x = 348.02
  5. Step 5: Solve for x
    x = 348.02/24.62
  6. Step 6: Final answer
    x = 14.14

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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.