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Finding the Fourth Proportional to 51.18, 76.78 and 22.33

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Solution

The fourth proportional to 51.18, 76.78 and 22.33 is: 33.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.18 : 76.78 = 22.33 : x
  2. Step 2: Convert to fraction form
    51.18/76.78 = 22.33/x
  3. Step 3: Cross multiply
    51.18x = 76.78 × 22.33
  4. Step 4: Simplify right side
    51.18x = 1,714.19
  5. Step 5: Solve for x
    x = 1,714.19/51.18
  6. Step 6: Final answer
    x = 33.49

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Why These Related Problems?

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