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Finding the Fourth Proportional to 15.70, 23.48 and 13.82

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Solution

The fourth proportional to 15.70, 23.48 and 13.82 is: 20.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.70 : 23.48 = 13.82 : x
  2. Step 2: Convert to fraction form
    15.70/23.48 = 13.82/x
  3. Step 3: Cross multiply
    15.70x = 23.48 × 13.82
  4. Step 4: Simplify right side
    15.70x = 324.49
  5. Step 5: Solve for x
    x = 324.49/15.70
  6. Step 6: Final answer
    x = 20.67

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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.