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Finding the Fourth Proportional to 21.57, 29.78 and 17.94

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Solution

The fourth proportional to 21.57, 29.78 and 17.94 is: 24.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.57 : 29.78 = 17.94 : x
  2. Step 2: Convert to fraction form
    21.57/29.78 = 17.94/x
  3. Step 3: Cross multiply
    21.57x = 29.78 × 17.94
  4. Step 4: Simplify right side
    21.57x = 534.25
  5. Step 5: Solve for x
    x = 534.25/21.57
  6. Step 6: Final answer
    x = 24.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.