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Finding the Fourth Proportional to 21.60, 31.96 and 21.60

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Solution

The fourth proportional to 21.60, 31.96 and 21.60 is: 31.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.60 : 31.96 = 21.60 : x
  2. Step 2: Convert to fraction form
    21.60/31.96 = 21.60/x
  3. Step 3: Cross multiply
    21.60x = 31.96 × 21.60
  4. Step 4: Simplify right side
    21.60x = 690.36
  5. Step 5: Solve for x
    x = 690.36/21.60
  6. Step 6: Final answer
    x = 31.96

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.