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Finding the Fourth Proportional to 15.82, 23.70 and 13.14

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Solution

The fourth proportional to 15.82, 23.70 and 13.14 is: 19.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.82 : 23.70 = 13.14 : x
  2. Step 2: Convert to fraction form
    15.82/23.70 = 13.14/x
  3. Step 3: Cross multiply
    15.82x = 23.70 × 13.14
  4. Step 4: Simplify right side
    15.82x = 311.42
  5. Step 5: Solve for x
    x = 311.42/15.82
  6. Step 6: Final answer
    x = 19.69

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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.