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Finding the Fourth Proportional to 10.45, 14.44 and 9.71

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Solution

The fourth proportional to 10.45, 14.44 and 9.71 is: 13.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.45 : 14.44 = 9.71 : x
  2. Step 2: Convert to fraction form
    10.45/14.44 = 9.71/x
  3. Step 3: Cross multiply
    10.45x = 14.44 × 9.71
  4. Step 4: Simplify right side
    10.45x = 140.21
  5. Step 5: Solve for x
    x = 140.21/10.45
  6. Step 6: Final answer
    x = 13.42

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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.