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Finding the Fourth Proportional to 10.37, 14.31 and 8.32

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Solution

The fourth proportional to 10.37, 14.31 and 8.32 is: 11.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.37 : 14.31 = 8.32 : x
  2. Step 2: Convert to fraction form
    10.37/14.31 = 8.32/x
  3. Step 3: Cross multiply
    10.37x = 14.31 × 8.32
  4. Step 4: Simplify right side
    10.37x = 119.02
  5. Step 5: Solve for x
    x = 119.02/10.37
  6. Step 6: Final answer
    x = 11.47

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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.