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Finding the Fourth Proportional to 14.50, 19.99 and 10.42

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Solution

The fourth proportional to 14.50, 19.99 and 10.42 is: 14.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.50 : 19.99 = 10.42 : x
  2. Step 2: Convert to fraction form
    14.50/19.99 = 10.42/x
  3. Step 3: Cross multiply
    14.50x = 19.99 × 10.42
  4. Step 4: Simplify right side
    14.50x = 208.30
  5. Step 5: Solve for x
    x = 208.30/14.50
  6. Step 6: Final answer
    x = 14.37

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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.