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Finding the Fourth Proportional to 21.87, 32.97 and 21.87

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Solution

The fourth proportional to 21.87, 32.97 and 21.87 is: 32.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.87 : 32.97 = 21.87 : x
  2. Step 2: Convert to fraction form
    21.87/32.97 = 21.87/x
  3. Step 3: Cross multiply
    21.87x = 32.97 × 21.87
  4. Step 4: Simplify right side
    21.87x = 721.05
  5. Step 5: Solve for x
    x = 721.05/21.87
  6. Step 6: Final answer
    x = 32.97

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.