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Finding the Fourth Proportional to 33.02, 45.56 and 23.80

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Solution

The fourth proportional to 33.02, 45.56 and 23.80 is: 32.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.02 : 45.56 = 23.80 : x
  2. Step 2: Convert to fraction form
    33.02/45.56 = 23.80/x
  3. Step 3: Cross multiply
    33.02x = 45.56 × 23.80
  4. Step 4: Simplify right side
    33.02x = 1,084.33
  5. Step 5: Solve for x
    x = 1,084.33/33.02
  6. Step 6: Final answer
    x = 32.84

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Why These Related Problems?

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