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Finding the Fourth Proportional to 38.03, 52.20 and 37.80

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Solution

The fourth proportional to 38.03, 52.20 and 37.80 is: 51.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.03 : 52.20 = 37.80 : x
  2. Step 2: Convert to fraction form
    38.03/52.20 = 37.80/x
  3. Step 3: Cross multiply
    38.03x = 52.20 × 37.80
  4. Step 4: Simplify right side
    38.03x = 1,973.16
  5. Step 5: Solve for x
    x = 1,973.16/38.03
  6. Step 6: Final answer
    x = 51.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.