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Finding the Fourth Proportional to 24, 35.76 and 22.80

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Solution

The fourth proportional to 24, 35.76 and 22.80 is: 33.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24 : 35.76 = 22.80 : x
  2. Step 2: Convert to fraction form
    24/35.76 = 22.80/x
  3. Step 3: Cross multiply
    24x = 35.76 × 22.80
  4. Step 4: Simplify right side
    24x = 815.33
  5. Step 5: Solve for x
    x = 815.33/24
  6. Step 6: Final answer
    x = 33.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.