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Finding the Fourth Proportional to 23.77, 32.96 and 22.55

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Solution

The fourth proportional to 23.77, 32.96 and 22.55 is: 31.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.77 : 32.96 = 22.55 : x
  2. Step 2: Convert to fraction form
    23.77/32.96 = 22.55/x
  3. Step 3: Cross multiply
    23.77x = 32.96 × 22.55
  4. Step 4: Simplify right side
    23.77x = 743.14
  5. Step 5: Solve for x
    x = 743.14/23.77
  6. Step 6: Final answer
    x = 31.26

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.