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Finding the Fourth Proportional to 38.77, 53.42 and 37.42

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Solution

The fourth proportional to 38.77, 53.42 and 37.42 is: 51.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.77 : 53.42 = 37.42 : x
  2. Step 2: Convert to fraction form
    38.77/53.42 = 37.42/x
  3. Step 3: Cross multiply
    38.77x = 53.42 × 37.42
  4. Step 4: Simplify right side
    38.77x = 1,998.98
  5. Step 5: Solve for x
    x = 1,998.98/38.77
  6. Step 6: Final answer
    x = 51.56

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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.