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Finding the Fourth Proportional to 14.47, 21.70 and 3.78

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Solution

The fourth proportional to 14.47, 21.70 and 3.78 is: 5.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.47 : 21.70 = 3.78 : x
  2. Step 2: Convert to fraction form
    14.47/21.70 = 3.78/x
  3. Step 3: Cross multiply
    14.47x = 21.70 × 3.78
  4. Step 4: Simplify right side
    14.47x = 82.07
  5. Step 5: Solve for x
    x = 82.07/14.47
  6. Step 6: Final answer
    x = 5.67

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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.