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Finding the Fourth Proportional to 14.50, 19.96 and 14.50

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Solution

The fourth proportional to 14.50, 19.96 and 14.50 is: 19.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.50 : 19.96 = 14.50 : x
  2. Step 2: Convert to fraction form
    14.50/19.96 = 14.50/x
  3. Step 3: Cross multiply
    14.50x = 19.96 × 14.50
  4. Step 4: Simplify right side
    14.50x = 289.42
  5. Step 5: Solve for x
    x = 289.42/14.50
  6. Step 6: Final answer
    x = 19.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.