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Finding the Fourth Proportional to 12.31, 18.45 and 9.64

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Solution

The fourth proportional to 12.31, 18.45 and 9.64 is: 14.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.31 : 18.45 = 9.64 : x
  2. Step 2: Convert to fraction form
    12.31/18.45 = 9.64/x
  3. Step 3: Cross multiply
    12.31x = 18.45 × 9.64
  4. Step 4: Simplify right side
    12.31x = 177.86
  5. Step 5: Solve for x
    x = 177.86/12.31
  6. Step 6: Final answer
    x = 14.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.