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Finding the Fourth Proportional to 28.63, 42.85 and 16.57

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Solution

The fourth proportional to 28.63, 42.85 and 16.57 is: 24.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.63 : 42.85 = 16.57 : x
  2. Step 2: Convert to fraction form
    28.63/42.85 = 16.57/x
  3. Step 3: Cross multiply
    28.63x = 42.85 × 16.57
  4. Step 4: Simplify right side
    28.63x = 710.02
  5. Step 5: Solve for x
    x = 710.02/28.63
  6. Step 6: Final answer
    x = 24.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.