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Finding the Fourth Proportional to 38.37, 53.00 and 31.54

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Solution

The fourth proportional to 38.37, 53.00 and 31.54 is: 43.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.37 : 53.00 = 31.54 : x
  2. Step 2: Convert to fraction form
    38.37/53.00 = 31.54/x
  3. Step 3: Cross multiply
    38.37x = 53.00 × 31.54
  4. Step 4: Simplify right side
    38.37x = 1,671.72
  5. Step 5: Solve for x
    x = 1,671.72/38.37
  6. Step 6: Final answer
    x = 43.56

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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.