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Finding the Fourth Proportional to 24.02, 35.99 and 13.17

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Solution

The fourth proportional to 24.02, 35.99 and 13.17 is: 19.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.02 : 35.99 = 13.17 : x
  2. Step 2: Convert to fraction form
    24.02/35.99 = 13.17/x
  3. Step 3: Cross multiply
    24.02x = 35.99 × 13.17
  4. Step 4: Simplify right side
    24.02x = 474.02
  5. Step 5: Solve for x
    x = 474.02/24.02
  6. Step 6: Final answer
    x = 19.74

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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.