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Finding the Fourth Proportional to 37.23, 55.82 and 22.78

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Solution

The fourth proportional to 37.23, 55.82 and 22.78 is: 34.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.23 : 55.82 = 22.78 : x
  2. Step 2: Convert to fraction form
    37.23/55.82 = 22.78/x
  3. Step 3: Cross multiply
    37.23x = 55.82 × 22.78
  4. Step 4: Simplify right side
    37.23x = 1,271.71
  5. Step 5: Solve for x
    x = 1,271.71/37.23
  6. Step 6: Final answer
    x = 34.16

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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.