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Finding the Fourth Proportional to 20.96, 31.48 and 13

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Solution

The fourth proportional to 20.96, 31.48 and 13 is: 19.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.96 : 31.48 = 13 : x
  2. Step 2: Convert to fraction form
    20.96/31.48 = 13/x
  3. Step 3: Cross multiply
    20.96x = 31.48 × 13
  4. Step 4: Simplify right side
    20.96x = 409.24
  5. Step 5: Solve for x
    x = 409.24/20.96
  6. Step 6: Final answer
    x = 19.52

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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.