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Finding the Fourth Proportional to 38.22, 53.02 and 37.23

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Solution

The fourth proportional to 38.22, 53.02 and 37.23 is: 51.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.22 : 53.02 = 37.23 : x
  2. Step 2: Convert to fraction form
    38.22/53.02 = 37.23/x
  3. Step 3: Cross multiply
    38.22x = 53.02 × 37.23
  4. Step 4: Simplify right side
    38.22x = 1,973.84
  5. Step 5: Solve for x
    x = 1,973.84/38.22
  6. Step 6: Final answer
    x = 51.64

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.