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Finding the Fourth Proportional to 23.90, 35.82 and 13.18

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Solution

The fourth proportional to 23.90, 35.82 and 13.18 is: 19.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.90 : 35.82 = 13.18 : x
  2. Step 2: Convert to fraction form
    23.90/35.82 = 13.18/x
  3. Step 3: Cross multiply
    23.90x = 35.82 × 13.18
  4. Step 4: Simplify right side
    23.90x = 472.11
  5. Step 5: Solve for x
    x = 472.11/23.90
  6. Step 6: Final answer
    x = 19.75

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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.