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Finding the Fourth Proportional to 37.78, 52.12 and 23.22

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Solution

The fourth proportional to 37.78, 52.12 and 23.22 is: 32.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.78 : 52.12 = 23.22 : x
  2. Step 2: Convert to fraction form
    37.78/52.12 = 23.22/x
  3. Step 3: Cross multiply
    37.78x = 52.12 × 23.22
  4. Step 4: Simplify right side
    37.78x = 1,210.23
  5. Step 5: Solve for x
    x = 1,210.23/37.78
  6. Step 6: Final answer
    x = 32.03

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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.