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Finding the Fourth Proportional to 22.57, 33.77 and 15.80

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Solution

The fourth proportional to 22.57, 33.77 and 15.80 is: 23.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.57 : 33.77 = 15.80 : x
  2. Step 2: Convert to fraction form
    22.57/33.77 = 15.80/x
  3. Step 3: Cross multiply
    22.57x = 33.77 × 15.80
  4. Step 4: Simplify right side
    22.57x = 533.44
  5. Step 5: Solve for x
    x = 533.44/22.57
  6. Step 6: Final answer
    x = 23.64

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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.