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Finding the Fourth Proportional to 14.45, 19.91 and 10.07

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Solution

The fourth proportional to 14.45, 19.91 and 10.07 is: 13.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.45 : 19.91 = 10.07 : x
  2. Step 2: Convert to fraction form
    14.45/19.91 = 10.07/x
  3. Step 3: Cross multiply
    14.45x = 19.91 × 10.07
  4. Step 4: Simplify right side
    14.45x = 200.39
  5. Step 5: Solve for x
    x = 200.39/14.45
  6. Step 6: Final answer
    x = 13.87

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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.