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Finding the Fourth Proportional to 21.92, 29.99 and 21.57

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Solution

The fourth proportional to 21.92, 29.99 and 21.57 is: 29.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.92 : 29.99 = 21.57 : x
  2. Step 2: Convert to fraction form
    21.92/29.99 = 21.57/x
  3. Step 3: Cross multiply
    21.92x = 29.99 × 21.57
  4. Step 4: Simplify right side
    21.92x = 646.85
  5. Step 5: Solve for x
    x = 646.85/21.92
  6. Step 6: Final answer
    x = 29.50

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.