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Finding the Fourth Proportional to 65.96, 98.96 and 20.31

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Solution

The fourth proportional to 65.96, 98.96 and 20.31 is: 30.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.96 : 98.96 = 20.31 : x
  2. Step 2: Convert to fraction form
    65.96/98.96 = 20.31/x
  3. Step 3: Cross multiply
    65.96x = 98.96 × 20.31
  4. Step 4: Simplify right side
    65.96x = 2,009.88
  5. Step 5: Solve for x
    x = 2,009.88/65.96
  6. Step 6: Final answer
    x = 30.47

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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.