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Finding the Fourth Proportional to 10.24, 14.14 and 8.37

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Solution

The fourth proportional to 10.24, 14.14 and 8.37 is: 11.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.24 : 14.14 = 8.37 : x
  2. Step 2: Convert to fraction form
    10.24/14.14 = 8.37/x
  3. Step 3: Cross multiply
    10.24x = 14.14 × 8.37
  4. Step 4: Simplify right side
    10.24x = 118.33
  5. Step 5: Solve for x
    x = 118.33/10.24
  6. Step 6: Final answer
    x = 11.55

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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.