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Finding the Fourth Proportional to 38.02, 56.56 and 37.96

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Solution

The fourth proportional to 38.02, 56.56 and 37.96 is: 56.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.02 : 56.56 = 37.96 : x
  2. Step 2: Convert to fraction form
    38.02/56.56 = 37.96/x
  3. Step 3: Cross multiply
    38.02x = 56.56 × 37.96
  4. Step 4: Simplify right side
    38.02x = 2,147.02
  5. Step 5: Solve for x
    x = 2,147.02/38.02
  6. Step 6: Final answer
    x = 56.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.