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Finding the Fourth Proportional to 10.37, 14.31 and 7.31

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Solution

The fourth proportional to 10.37, 14.31 and 7.31 is: 10.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.37 : 14.31 = 7.31 : x
  2. Step 2: Convert to fraction form
    10.37/14.31 = 7.31/x
  3. Step 3: Cross multiply
    10.37x = 14.31 × 7.31
  4. Step 4: Simplify right side
    10.37x = 104.61
  5. Step 5: Solve for x
    x = 104.61/10.37
  6. Step 6: Final answer
    x = 10.09

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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.